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Finding the Fourth Proportional to 265,138.76, 397,708.95 and 65,459.16

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Solution

The fourth proportional to 265,138.76, 397,708.95 and 65,459.16 is: 98,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,138.76 : 397,708.95 = 65,459.16 : x
  2. Step 2: Convert to fraction form
    265,138.76/397,708.95 = 65,459.16/x
  3. Step 3: Cross multiply
    265,138.76x = 397,708.95 × 65,459.16
  4. Step 4: Simplify right side
    265,138.76x = 26,033,693,791.48
  5. Step 5: Solve for x
    x = 26,033,693,791.48/265,138.76
  6. Step 6: Final answer
    x = 98,188.94

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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.