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Finding the Fourth Proportional to 227,817.40, 341,726.10 and 78,007.90

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Solution

The fourth proportional to 227,817.40, 341,726.10 and 78,007.90 is: 117,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,817.40 : 341,726.10 = 78,007.90 : x
  2. Step 2: Convert to fraction form
    227,817.40/341,726.10 = 78,007.90/x
  3. Step 3: Cross multiply
    227,817.40x = 341,726.10 × 78,007.90
  4. Step 4: Simplify right side
    227,817.40x = 26,657,335,436.19
  5. Step 5: Solve for x
    x = 26,657,335,436.19/227,817.40
  6. Step 6: Final answer
    x = 117,011.85

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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.