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Finding the Fourth Proportional to 152,999.20, 229,274.70 and 137,204.20

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Solution

The fourth proportional to 152,999.20, 229,274.70 and 137,204.20 is: 205,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,999.20 : 229,274.70 = 137,204.20 : x
  2. Step 2: Convert to fraction form
    152,999.20/229,274.70 = 137,204.20/x
  3. Step 3: Cross multiply
    152,999.20x = 229,274.70 × 137,204.20
  4. Step 4: Simplify right side
    152,999.20x = 31,457,451,793.74
  5. Step 5: Solve for x
    x = 31,457,451,793.74/152,999.20
  6. Step 6: Final answer
    x = 205,605.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.