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Finding the Fourth Proportional to 180,658.89, 249,309.09 and 100,091.43

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Solution

The fourth proportional to 180,658.89, 249,309.09 and 100,091.43 is: 138,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,658.89 : 249,309.09 = 100,091.43 : x
  2. Step 2: Convert to fraction form
    180,658.89/249,309.09 = 100,091.43/x
  3. Step 3: Cross multiply
    180,658.89x = 249,309.09 × 100,091.43
  4. Step 4: Simplify right side
    180,658.89x = 24,953,703,330.10
  5. Step 5: Solve for x
    x = 24,953,703,330.10/180,658.89
  6. Step 6: Final answer
    x = 138,126.07

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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.