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Finding the Fourth Proportional to 169,276.24, 233,609.16 and 93,826

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Solution

The fourth proportional to 169,276.24, 233,609.16 and 93,826 is: 129,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,276.24 : 233,609.16 = 93,826 : x
  2. Step 2: Convert to fraction form
    169,276.24/233,609.16 = 93,826/x
  3. Step 3: Cross multiply
    169,276.24x = 233,609.16 × 93,826
  4. Step 4: Simplify right side
    169,276.24x = 21,918,613,046.16
  5. Step 5: Solve for x
    x = 21,918,613,046.16/169,276.24
  6. Step 6: Final answer
    x = 129,484.29

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