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Finding the Fourth Proportional to 138,047.60, 207,071.40 and 100,868.60

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Solution

The fourth proportional to 138,047.60, 207,071.40 and 100,868.60 is: 151,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,047.60 : 207,071.40 = 100,868.60 : x
  2. Step 2: Convert to fraction form
    138,047.60/207,071.40 = 100,868.60/x
  3. Step 3: Cross multiply
    138,047.60x = 207,071.40 × 100,868.60
  4. Step 4: Simplify right side
    138,047.60x = 20,887,002,218.04
  5. Step 5: Solve for x
    x = 20,887,002,218.04/138,047.60
  6. Step 6: Final answer
    x = 151,302.90

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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.