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Finding the Fourth Proportional to 181,098.48, 249,911.22 and 100,523.94

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Solution

The fourth proportional to 181,098.48, 249,911.22 and 100,523.94 is: 138,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,098.48 : 249,911.22 = 100,523.94 : x
  2. Step 2: Convert to fraction form
    181,098.48/249,911.22 = 100,523.94/x
  3. Step 3: Cross multiply
    181,098.48x = 249,911.22 × 100,523.94
  4. Step 4: Simplify right side
    181,098.48x = 25,122,059,924.40
  5. Step 5: Solve for x
    x = 25,122,059,924.40/181,098.48
  6. Step 6: Final answer
    x = 138,720.43

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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.