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Finding the Fourth Proportional to 229,864.64, 344,793.50 and 103,415.59

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Solution

The fourth proportional to 229,864.64, 344,793.50 and 103,415.59 is: 155,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,864.64 : 344,793.50 = 103,415.59 : x
  2. Step 2: Convert to fraction form
    229,864.64/344,793.50 = 103,415.59/x
  3. Step 3: Cross multiply
    229,864.64x = 344,793.50 × 103,415.59
  4. Step 4: Simplify right side
    229,864.64x = 35,657,024,114.10
  5. Step 5: Solve for x
    x = 35,657,024,114.10/229,864.64
  6. Step 6: Final answer
    x = 155,121.83

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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.