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Finding the Fourth Proportional to 265,618.58, 398,488.01 and 97,138.17

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Solution

The fourth proportional to 265,618.58, 398,488.01 and 97,138.17 is: 145,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,618.58 : 398,488.01 = 97,138.17 : x
  2. Step 2: Convert to fraction form
    265,618.58/398,488.01 = 97,138.17/x
  3. Step 3: Cross multiply
    265,618.58x = 398,488.01 × 97,138.17
  4. Step 4: Simplify right side
    265,618.58x = 38,708,395,572.65
  5. Step 5: Solve for x
    x = 38,708,395,572.65/265,618.58
  6. Step 6: Final answer
    x = 145,729.25

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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.