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Finding the Fourth Proportional to 181,042.29, 249,846.89 and 100,470.48

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Solution

The fourth proportional to 181,042.29, 249,846.89 and 100,470.48 is: 138,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,042.29 : 249,846.89 = 100,470.48 : x
  2. Step 2: Convert to fraction form
    181,042.29/249,846.89 = 100,470.48/x
  3. Step 3: Cross multiply
    181,042.29x = 249,846.89 × 100,470.48
  4. Step 4: Simplify right side
    181,042.29x = 25,102,236,964.81
  5. Step 5: Solve for x
    x = 25,102,236,964.81/181,042.29
  6. Step 6: Final answer
    x = 138,654.00

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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.