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Finding the Fourth Proportional to 157,141.98, 235,712.97 and 129,381.66

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Solution

The fourth proportional to 157,141.98, 235,712.97 and 129,381.66 is: 194,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,141.98 : 235,712.97 = 129,381.66 : x
  2. Step 2: Convert to fraction form
    157,141.98/235,712.97 = 129,381.66/x
  3. Step 3: Cross multiply
    157,141.98x = 235,712.97 × 129,381.66
  4. Step 4: Simplify right side
    157,141.98x = 30,496,935,342.13
  5. Step 5: Solve for x
    x = 30,496,935,342.13/157,141.98
  6. Step 6: Final answer
    x = 194,072.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.