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Finding the Fourth Proportional to 138,058.40, 207,116.40 and 78,845.60

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Solution

The fourth proportional to 138,058.40, 207,116.40 and 78,845.60 is: 118,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058.40 : 207,116.40 = 78,845.60 : x
  2. Step 2: Convert to fraction form
    138,058.40/207,116.40 = 78,845.60/x
  3. Step 3: Cross multiply
    138,058.40x = 207,116.40 × 78,845.60
  4. Step 4: Simplify right side
    138,058.40x = 16,330,216,827.84
  5. Step 5: Solve for x
    x = 16,330,216,827.84/138,058.40
  6. Step 6: Final answer
    x = 118,284.85

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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.