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Finding the Fourth Proportional to 181,073.34, 249,876.54 and 100,498.50

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Solution

The fourth proportional to 181,073.34, 249,876.54 and 100,498.50 is: 138,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,073.34 : 249,876.54 = 100,498.50 : x
  2. Step 2: Convert to fraction form
    181,073.34/249,876.54 = 100,498.50/x
  3. Step 3: Cross multiply
    181,073.34x = 249,876.54 × 100,498.50
  4. Step 4: Simplify right side
    181,073.34x = 25,112,217,455.19
  5. Step 5: Solve for x
    x = 25,112,217,455.19/181,073.34
  6. Step 6: Final answer
    x = 138,685.34

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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.