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Finding the Fourth Proportional to 229,864.30, 344,990.85 and 103,698.70

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Solution

The fourth proportional to 229,864.30, 344,990.85 and 103,698.70 is: 155,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,864.30 : 344,990.85 = 103,698.70 : x
  2. Step 2: Convert to fraction form
    229,864.30/344,990.85 = 103,698.70/x
  3. Step 3: Cross multiply
    229,864.30x = 344,990.85 × 103,698.70
  4. Step 4: Simplify right side
    229,864.30x = 35,775,102,656.90
  5. Step 5: Solve for x
    x = 35,775,102,656.90/229,864.30
  6. Step 6: Final answer
    x = 155,635.75

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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.