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Finding the Fourth Proportional to 227,615.70, 341,391.15 and 77,862.90

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Solution

The fourth proportional to 227,615.70, 341,391.15 and 77,862.90 is: 116,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,615.70 : 341,391.15 = 77,862.90 : x
  2. Step 2: Convert to fraction form
    227,615.70/341,391.15 = 77,862.90/x
  3. Step 3: Cross multiply
    227,615.70x = 341,391.15 × 77,862.90
  4. Step 4: Simplify right side
    227,615.70x = 26,581,704,973.34
  5. Step 5: Solve for x
    x = 26,581,704,973.34/227,615.70
  6. Step 6: Final answer
    x = 116,783.27

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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.