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Finding the Fourth Proportional to 213,523.92, 294,678.40 and 118,028.64

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Solution

The fourth proportional to 213,523.92, 294,678.40 and 118,028.64 is: 162,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,523.92 : 294,678.40 = 118,028.64 : x
  2. Step 2: Convert to fraction form
    213,523.92/294,678.40 = 118,028.64/x
  3. Step 3: Cross multiply
    213,523.92x = 294,678.40 × 118,028.64
  4. Step 4: Simplify right side
    213,523.92x = 34,780,490,789.38
  5. Step 5: Solve for x
    x = 34,780,490,789.38/213,523.92
  6. Step 6: Final answer
    x = 162,888.03

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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.