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Finding the Fourth Proportional to 181,057.29, 249,889.11 and 105,605.79

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Solution

The fourth proportional to 181,057.29, 249,889.11 and 105,605.79 is: 145,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,057.29 : 249,889.11 = 105,605.79 : x
  2. Step 2: Convert to fraction form
    181,057.29/249,889.11 = 105,605.79/x
  3. Step 3: Cross multiply
    181,057.29x = 249,889.11 × 105,605.79
  4. Step 4: Simplify right side
    181,057.29x = 26,389,736,873.95
  5. Step 5: Solve for x
    x = 26,389,736,873.95/181,057.29
  6. Step 6: Final answer
    x = 145,753.52

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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.