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Finding the Fourth Proportional to 157,641.62, 217,782.38 and 103,322.68

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Solution

The fourth proportional to 157,641.62, 217,782.38 and 103,322.68 is: 142,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,641.62 : 217,782.38 = 103,322.68 : x
  2. Step 2: Convert to fraction form
    157,641.62/217,782.38 = 103,322.68/x
  3. Step 3: Cross multiply
    157,641.62x = 217,782.38 × 103,322.68
  4. Step 4: Simplify right side
    157,641.62x = 22,501,859,158.38
  5. Step 5: Solve for x
    x = 22,501,859,158.38/157,641.62
  6. Step 6: Final answer
    x = 142,740.60

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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.