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Finding the Fourth Proportional to 138,735.60, 207,642.60 and 97,263.60

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Solution

The fourth proportional to 138,735.60, 207,642.60 and 97,263.60 is: 145,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,735.60 : 207,642.60 = 97,263.60 : x
  2. Step 2: Convert to fraction form
    138,735.60/207,642.60 = 97,263.60/x
  3. Step 3: Cross multiply
    138,735.60x = 207,642.60 × 97,263.60
  4. Step 4: Simplify right side
    138,735.60x = 20,196,066,789.36
  5. Step 5: Solve for x
    x = 20,196,066,789.36/138,735.60
  6. Step 6: Final answer
    x = 145,572.35

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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.