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Finding the Fourth Proportional to 213,369.64, 294,449.70 and 117,876.04

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Solution

The fourth proportional to 213,369.64, 294,449.70 and 117,876.04 is: 162,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,369.64 : 294,449.70 = 117,876.04 : x
  2. Step 2: Convert to fraction form
    213,369.64/294,449.70 = 117,876.04/x
  3. Step 3: Cross multiply
    213,369.64x = 294,449.70 × 117,876.04
  4. Step 4: Simplify right side
    213,369.64x = 34,708,564,615.19
  5. Step 5: Solve for x
    x = 34,708,564,615.19/213,369.64
  6. Step 6: Final answer
    x = 162,668.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.