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Finding the Fourth Proportional to 125,549.28, 188,323.60 and 78,834.96

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Solution

The fourth proportional to 125,549.28, 188,323.60 and 78,834.96 is: 118,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,549.28 : 188,323.60 = 78,834.96 : x
  2. Step 2: Convert to fraction form
    125,549.28/188,323.60 = 78,834.96/x
  3. Step 3: Cross multiply
    125,549.28x = 188,323.60 × 78,834.96
  4. Step 4: Simplify right side
    125,549.28x = 14,846,483,473.06
  5. Step 5: Solve for x
    x = 14,846,483,473.06/125,549.28
  6. Step 6: Final answer
    x = 118,252.24

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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.