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Finding the Fourth Proportional to 169,046.12, 233,283.84 and 93,593

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Solution

The fourth proportional to 169,046.12, 233,283.84 and 93,593 is: 129,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,046.12 : 233,283.84 = 93,593 : x
  2. Step 2: Convert to fraction form
    169,046.12/233,283.84 = 93,593/x
  3. Step 3: Cross multiply
    169,046.12x = 233,283.84 × 93,593
  4. Step 4: Simplify right side
    169,046.12x = 21,833,734,437.12
  5. Step 5: Solve for x
    x = 21,833,734,437.12/169,046.12
  6. Step 6: Final answer
    x = 129,158.45

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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.