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Finding the Fourth Proportional to 227,854.34, 341,829.92 and 78,054.41

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Solution

The fourth proportional to 227,854.34, 341,829.92 and 78,054.41 is: 117,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,854.34 : 341,829.92 = 78,054.41 : x
  2. Step 2: Convert to fraction form
    227,854.34/341,829.92 = 78,054.41/x
  3. Step 3: Cross multiply
    227,854.34x = 341,829.92 × 78,054.41
  4. Step 4: Simplify right side
    227,854.34x = 26,681,332,814.26
  5. Step 5: Solve for x
    x = 26,681,332,814.26/227,854.34
  6. Step 6: Final answer
    x = 117,098.20

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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.