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Finding the Fourth Proportional to 169,068, 233,321.13 and 93,616.50

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Solution

The fourth proportional to 169,068, 233,321.13 and 93,616.50 is: 129,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,068 : 233,321.13 = 93,616.50 : x
  2. Step 2: Convert to fraction form
    169,068/233,321.13 = 93,616.50/x
  3. Step 3: Cross multiply
    169,068x = 233,321.13 × 93,616.50
  4. Step 4: Simplify right side
    169,068x = 21,842,707,566.65
  5. Step 5: Solve for x
    x = 21,842,707,566.65/169,068
  6. Step 6: Final answer
    x = 129,194.81

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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.