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Finding the Fourth Proportional to 116,221.18, 160,387.95 and 65,920.18

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Solution

The fourth proportional to 116,221.18, 160,387.95 and 65,920.18 is: 90,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,221.18 : 160,387.95 = 65,920.18 : x
  2. Step 2: Convert to fraction form
    116,221.18/160,387.95 = 65,920.18/x
  3. Step 3: Cross multiply
    116,221.18x = 160,387.95 × 65,920.18
  4. Step 4: Simplify right side
    116,221.18x = 10,572,802,533.83
  5. Step 5: Solve for x
    x = 10,572,802,533.83/116,221.18
  6. Step 6: Final answer
    x = 90,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.