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Finding the Fourth Proportional to 280,136.47, 420,148.01 and 102,582.85

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Solution

The fourth proportional to 280,136.47, 420,148.01 and 102,582.85 is: 153,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,136.47 : 420,148.01 = 102,582.85 : x
  2. Step 2: Convert to fraction form
    280,136.47/420,148.01 = 102,582.85/x
  3. Step 3: Cross multiply
    280,136.47x = 420,148.01 × 102,582.85
  4. Step 4: Simplify right side
    280,136.47x = 43,099,979,774.71
  5. Step 5: Solve for x
    x = 43,099,979,774.71/280,136.47
  6. Step 6: Final answer
    x = 153,853.51

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