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Finding the Fourth Proportional to 265,634.64, 398,511.09 and 97,151.20

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Solution

The fourth proportional to 265,634.64, 398,511.09 and 97,151.20 is: 145,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,634.64 : 398,511.09 = 97,151.20 : x
  2. Step 2: Convert to fraction form
    265,634.64/398,511.09 = 97,151.20/x
  3. Step 3: Cross multiply
    265,634.64x = 398,511.09 × 97,151.20
  4. Step 4: Simplify right side
    265,634.64x = 38,715,829,610.53
  5. Step 5: Solve for x
    x = 38,715,829,610.53/265,634.64
  6. Step 6: Final answer
    x = 145,748.42

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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.