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Finding the Fourth Proportional to 114,387.96, 157,864.14 and 71,982.84

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Solution

The fourth proportional to 114,387.96, 157,864.14 and 71,982.84 is: 99,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,387.96 : 157,864.14 = 71,982.84 : x
  2. Step 2: Convert to fraction form
    114,387.96/157,864.14 = 71,982.84/x
  3. Step 3: Cross multiply
    114,387.96x = 157,864.14 × 71,982.84
  4. Step 4: Simplify right side
    114,387.96x = 11,363,509,131.36
  5. Step 5: Solve for x
    x = 11,363,509,131.36/114,387.96
  6. Step 6: Final answer
    x = 99,341.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.