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Finding the Fourth Proportional to 157,381.65, 217,188.14 and 85,763.07

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Solution

The fourth proportional to 157,381.65, 217,188.14 and 85,763.07 is: 118,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,381.65 : 217,188.14 = 85,763.07 : x
  2. Step 2: Convert to fraction form
    157,381.65/217,188.14 = 85,763.07/x
  3. Step 3: Cross multiply
    157,381.65x = 217,188.14 × 85,763.07
  4. Step 4: Simplify right side
    157,381.65x = 18,626,721,225.17
  5. Step 5: Solve for x
    x = 18,626,721,225.17/157,381.65
  6. Step 6: Final answer
    x = 118,353.83

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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.