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Finding the Fourth Proportional to 213,394.10, 294,475.91 and 117,898.74

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Solution

The fourth proportional to 213,394.10, 294,475.91 and 117,898.74 is: 162,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,394.10 : 294,475.91 = 117,898.74 : x
  2. Step 2: Convert to fraction form
    213,394.10/294,475.91 = 117,898.74/x
  3. Step 3: Cross multiply
    213,394.10x = 294,475.91 × 117,898.74
  4. Step 4: Simplify right side
    213,394.10x = 34,718,338,159.86
  5. Step 5: Solve for x
    x = 34,718,338,159.86/213,394.10
  6. Step 6: Final answer
    x = 162,695.87

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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.