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Finding the Fourth Proportional to 188,280.62, 282,468.77 and 53,344.53

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Solution

The fourth proportional to 188,280.62, 282,468.77 and 53,344.53 is: 80,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,280.62 : 282,468.77 = 53,344.53 : x
  2. Step 2: Convert to fraction form
    188,280.62/282,468.77 = 53,344.53/x
  3. Step 3: Cross multiply
    188,280.62x = 282,468.77 × 53,344.53
  4. Step 4: Simplify right side
    188,280.62x = 15,068,163,508.61
  5. Step 5: Solve for x
    x = 15,068,163,508.61/188,280.62
  6. Step 6: Final answer
    x = 80,030.35

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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.