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Finding the Fourth Proportional to 157,144.08, 216,830.10 and 102,681.84

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Solution

The fourth proportional to 157,144.08, 216,830.10 and 102,681.84 is: 141,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,144.08 : 216,830.10 = 102,681.84 : x
  2. Step 2: Convert to fraction form
    157,144.08/216,830.10 = 102,681.84/x
  3. Step 3: Cross multiply
    157,144.08x = 216,830.10 × 102,681.84
  4. Step 4: Simplify right side
    157,144.08x = 22,264,513,635.38
  5. Step 5: Solve for x
    x = 22,264,513,635.38/157,144.08
  6. Step 6: Final answer
    x = 141,682.17

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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.