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Finding the Fourth Proportional to 229,373.19, 344,059.77 and 71,615.16

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Solution

The fourth proportional to 229,373.19, 344,059.77 and 71,615.16 is: 107,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,373.19 : 344,059.77 = 71,615.16 : x
  2. Step 2: Convert to fraction form
    229,373.19/344,059.77 = 71,615.16/x
  3. Step 3: Cross multiply
    229,373.19x = 344,059.77 × 71,615.16
  4. Step 4: Simplify right side
    229,373.19x = 24,639,895,478.11
  5. Step 5: Solve for x
    x = 24,639,895,478.11/229,373.19
  6. Step 6: Final answer
    x = 107,422.74

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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.