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Finding the Fourth Proportional to 229,652.50, 344,432.47 and 144,225.20

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Solution

The fourth proportional to 229,652.50, 344,432.47 and 144,225.20 is: 216,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,652.50 : 344,432.47 = 144,225.20 : x
  2. Step 2: Convert to fraction form
    229,652.50/344,432.47 = 144,225.20/x
  3. Step 3: Cross multiply
    229,652.50x = 344,432.47 × 144,225.20
  4. Step 4: Simplify right side
    229,652.50x = 49,675,841,872.24
  5. Step 5: Solve for x
    x = 49,675,841,872.24/229,652.50
  6. Step 6: Final answer
    x = 216,308.74

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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.