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Finding the Fourth Proportional to 188,284.80, 282,468.24 and 93,565.92

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Solution

The fourth proportional to 188,284.80, 282,468.24 and 93,565.92 is: 140,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,284.80 : 282,468.24 = 93,565.92 : x
  2. Step 2: Convert to fraction form
    188,284.80/282,468.24 = 93,565.92/x
  3. Step 3: Cross multiply
    188,284.80x = 282,468.24 × 93,565.92
  4. Step 4: Simplify right side
    188,284.80x = 26,429,400,746.38
  5. Step 5: Solve for x
    x = 26,429,400,746.38/188,284.80
  6. Step 6: Final answer
    x = 140,369.27

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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.