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Finding the Fourth Proportional to 265,141.26, 397,712.70 and 65,461.66

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Solution

The fourth proportional to 265,141.26, 397,712.70 and 65,461.66 is: 98,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,141.26 : 397,712.70 = 65,461.66 : x
  2. Step 2: Convert to fraction form
    265,141.26/397,712.70 = 65,461.66/x
  3. Step 3: Cross multiply
    265,141.26x = 397,712.70 × 65,461.66
  4. Step 4: Simplify right side
    265,141.26x = 26,034,933,545.08
  5. Step 5: Solve for x
    x = 26,034,933,545.08/265,141.26
  6. Step 6: Final answer
    x = 98,192.69

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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.