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Finding the Fourth Proportional to 138,158.40, 207,266.40 and 78,945.60

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Solution

The fourth proportional to 138,158.40, 207,266.40 and 78,945.60 is: 118,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.40 : 207,266.40 = 78,945.60 : x
  2. Step 2: Convert to fraction form
    138,158.40/207,266.40 = 78,945.60/x
  3. Step 3: Cross multiply
    138,158.40x = 207,266.40 × 78,945.60
  4. Step 4: Simplify right side
    138,158.40x = 16,362,770,307.84
  5. Step 5: Solve for x
    x = 16,362,770,307.84/138,158.40
  6. Step 6: Final answer
    x = 118,434.86

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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.