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Finding the Fourth Proportional to 229,752.44, 344,487.42 and 89,347.40

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Solution

The fourth proportional to 229,752.44, 344,487.42 and 89,347.40 is: 133,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,752.44 : 344,487.42 = 89,347.40 : x
  2. Step 2: Convert to fraction form
    229,752.44/344,487.42 = 89,347.40/x
  3. Step 3: Cross multiply
    229,752.44x = 344,487.42 × 89,347.40
  4. Step 4: Simplify right side
    229,752.44x = 30,779,055,309.71
  5. Step 5: Solve for x
    x = 30,779,055,309.71/229,752.44
  6. Step 6: Final answer
    x = 133,966.17

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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.