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Finding the Fourth Proportional to 114,252.84, 157,650.12 and 71,781.12

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Solution

The fourth proportional to 114,252.84, 157,650.12 and 71,781.12 is: 99,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,252.84 : 157,650.12 = 71,781.12 : x
  2. Step 2: Convert to fraction form
    114,252.84/157,650.12 = 71,781.12/x
  3. Step 3: Cross multiply
    114,252.84x = 157,650.12 × 71,781.12
  4. Step 4: Simplify right side
    114,252.84x = 11,316,302,181.73
  5. Step 5: Solve for x
    x = 11,316,302,181.73/114,252.84
  6. Step 6: Final answer
    x = 99,046.13

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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.