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Finding the Fourth Proportional to 229,665.59, 344,476.10 and 69,742.91

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Solution

The fourth proportional to 229,665.59, 344,476.10 and 69,742.91 is: 104,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,665.59 : 344,476.10 = 69,742.91 : x
  2. Step 2: Convert to fraction form
    229,665.59/344,476.10 = 69,742.91/x
  3. Step 3: Cross multiply
    229,665.59x = 344,476.10 × 69,742.91
  4. Step 4: Simplify right side
    229,665.59x = 24,024,763,568.36
  5. Step 5: Solve for x
    x = 24,024,763,568.36/229,665.59
  6. Step 6: Final answer
    x = 104,607.59

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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.