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Finding the Fourth Proportional to 137,312.80, 205,815.60 and 70,727.20

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Solution

The fourth proportional to 137,312.80, 205,815.60 and 70,727.20 is: 106,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,312.80 : 205,815.60 = 70,727.20 : x
  2. Step 2: Convert to fraction form
    137,312.80/205,815.60 = 70,727.20/x
  3. Step 3: Cross multiply
    137,312.80x = 205,815.60 × 70,727.20
  4. Step 4: Simplify right side
    137,312.80x = 14,556,761,104.32
  5. Step 5: Solve for x
    x = 14,556,761,104.32/137,312.80
  6. Step 6: Final answer
    x = 106,011.68

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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.