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Finding the Fourth Proportional to 153,046.20, 229,345.20 and 137,251.20

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Solution

The fourth proportional to 153,046.20, 229,345.20 and 137,251.20 is: 205,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,046.20 : 229,345.20 = 137,251.20 : x
  2. Step 2: Convert to fraction form
    153,046.20/229,345.20 = 137,251.20/x
  3. Step 3: Cross multiply
    153,046.20x = 229,345.20 × 137,251.20
  4. Step 4: Simplify right side
    153,046.20x = 31,477,903,914.24
  5. Step 5: Solve for x
    x = 31,477,903,914.24/153,046.20
  6. Step 6: Final answer
    x = 205,675.83

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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.