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Finding the Fourth Proportional to 282,458.35, 423,702.10 and 72,098.11

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Solution

The fourth proportional to 282,458.35, 423,702.10 and 72,098.11 is: 108,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,458.35 : 423,702.10 = 72,098.11 : x
  2. Step 2: Convert to fraction form
    282,458.35/423,702.10 = 72,098.11/x
  3. Step 3: Cross multiply
    282,458.35x = 423,702.10 × 72,098.11
  4. Step 4: Simplify right side
    282,458.35x = 30,548,118,494.52
  5. Step 5: Solve for x
    x = 30,548,118,494.52/282,458.35
  6. Step 6: Final answer
    x = 108,150.88

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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.