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Finding the Fourth Proportional to 169,216.14, 233,527.61 and 93,763.02

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Solution

The fourth proportional to 169,216.14, 233,527.61 and 93,763.02 is: 129,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,216.14 : 233,527.61 = 93,763.02 : x
  2. Step 2: Convert to fraction form
    169,216.14/233,527.61 = 93,763.02/x
  3. Step 3: Cross multiply
    169,216.14x = 233,527.61 × 93,763.02
  4. Step 4: Simplify right side
    169,216.14x = 21,896,253,966.98
  5. Step 5: Solve for x
    x = 21,896,253,966.98/169,216.14
  6. Step 6: Final answer
    x = 129,398.14

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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.