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Finding the Fourth Proportional to 223,186.18, 334,781.99 and 65,417.82

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Solution

The fourth proportional to 223,186.18, 334,781.99 and 65,417.82 is: 98,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,186.18 : 334,781.99 = 65,417.82 : x
  2. Step 2: Convert to fraction form
    223,186.18/334,781.99 = 65,417.82/x
  3. Step 3: Cross multiply
    223,186.18x = 334,781.99 × 65,417.82
  4. Step 4: Simplify right side
    223,186.18x = 21,900,707,633.97
  5. Step 5: Solve for x
    x = 21,900,707,633.97/223,186.18
  6. Step 6: Final answer
    x = 98,127.53

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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.