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Finding the Fourth Proportional to 153,909.40, 230,864.10 and 137,320.60

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Solution

The fourth proportional to 153,909.40, 230,864.10 and 137,320.60 is: 205,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909.40 : 230,864.10 = 137,320.60 : x
  2. Step 2: Convert to fraction form
    153,909.40/230,864.10 = 137,320.60/x
  3. Step 3: Cross multiply
    153,909.40x = 230,864.10 × 137,320.60
  4. Step 4: Simplify right side
    153,909.40x = 31,702,396,730.46
  5. Step 5: Solve for x
    x = 31,702,396,730.46/153,909.40
  6. Step 6: Final answer
    x = 205,980.90

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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.