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Finding the Fourth Proportional to 152,998.20, 229,273.20 and 137,203.20

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Solution

The fourth proportional to 152,998.20, 229,273.20 and 137,203.20 is: 205,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,998.20 : 229,273.20 = 137,203.20 : x
  2. Step 2: Convert to fraction form
    152,998.20/229,273.20 = 137,203.20/x
  3. Step 3: Cross multiply
    152,998.20x = 229,273.20 × 137,203.20
  4. Step 4: Simplify right side
    152,998.20x = 31,457,016,714.24
  5. Step 5: Solve for x
    x = 31,457,016,714.24/152,998.20
  6. Step 6: Final answer
    x = 205,603.84

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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.