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Finding the Fourth Proportional to 282,815.40, 424,132.86 and 93,240.40

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Solution

The fourth proportional to 282,815.40, 424,132.86 and 93,240.40 is: 139,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,815.40 : 424,132.86 = 93,240.40 : x
  2. Step 2: Convert to fraction form
    282,815.40/424,132.86 = 93,240.40/x
  3. Step 3: Cross multiply
    282,815.40x = 424,132.86 × 93,240.40
  4. Step 4: Simplify right side
    282,815.40x = 39,546,317,519.54
  5. Step 5: Solve for x
    x = 39,546,317,519.54/282,815.40
  6. Step 6: Final answer
    x = 139,830.85

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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.