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Finding the Fourth Proportional to 157,506.71, 217,354.50 and 85,888.13

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Solution

The fourth proportional to 157,506.71, 217,354.50 and 85,888.13 is: 118,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,506.71 : 217,354.50 = 85,888.13 : x
  2. Step 2: Convert to fraction form
    157,506.71/217,354.50 = 85,888.13/x
  3. Step 3: Cross multiply
    157,506.71x = 217,354.50 × 85,888.13
  4. Step 4: Simplify right side
    157,506.71x = 18,668,170,465.31
  5. Step 5: Solve for x
    x = 18,668,170,465.31/157,506.71
  6. Step 6: Final answer
    x = 118,523.02

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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.