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Finding the Fourth Proportional to 282,808.86, 424,123.14 and 93,233.90

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Solution

The fourth proportional to 282,808.86, 424,123.14 and 93,233.90 is: 139,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,808.86 : 424,123.14 = 93,233.90 : x
  2. Step 2: Convert to fraction form
    282,808.86/424,123.14 = 93,233.90/x
  3. Step 3: Cross multiply
    282,808.86x = 424,123.14 × 93,233.90
  4. Step 4: Simplify right side
    282,808.86x = 39,542,654,422.45
  5. Step 5: Solve for x
    x = 39,542,654,422.45/282,808.86
  6. Step 6: Final answer
    x = 139,821.13

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Why These Related Problems?

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