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Finding the Fourth Proportional to 138,749.60, 208,175.60 and 45,258.40

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Solution

The fourth proportional to 138,749.60, 208,175.60 and 45,258.40 is: 67,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,749.60 : 208,175.60 = 45,258.40 : x
  2. Step 2: Convert to fraction form
    138,749.60/208,175.60 = 45,258.40/x
  3. Step 3: Cross multiply
    138,749.60x = 208,175.60 × 45,258.40
  4. Step 4: Simplify right side
    138,749.60x = 9,421,694,575.04
  5. Step 5: Solve for x
    x = 9,421,694,575.04/138,749.60
  6. Step 6: Final answer
    x = 67,904.30

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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.