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Finding the Fourth Proportional to 282,714.76, 424,114.14 and 93,140.14

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Solution

The fourth proportional to 282,714.76, 424,114.14 and 93,140.14 is: 139,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,714.76 : 424,114.14 = 93,140.14 : x
  2. Step 2: Convert to fraction form
    282,714.76/424,114.14 = 93,140.14/x
  3. Step 3: Cross multiply
    282,714.76x = 424,114.14 × 93,140.14
  4. Step 4: Simplify right side
    282,714.76x = 39,502,050,375.58
  5. Step 5: Solve for x
    x = 39,502,050,375.58/282,714.76
  6. Step 6: Final answer
    x = 139,724.05

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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.