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Finding the Fourth Proportional to 180,747.65, 249,431.78 and 100,180.37

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Solution

The fourth proportional to 180,747.65, 249,431.78 and 100,180.37 is: 138,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,747.65 : 249,431.78 = 100,180.37 : x
  2. Step 2: Convert to fraction form
    180,747.65/249,431.78 = 100,180.37/x
  3. Step 3: Cross multiply
    180,747.65x = 249,431.78 × 100,180.37
  4. Step 4: Simplify right side
    180,747.65x = 24,988,168,010.16
  5. Step 5: Solve for x
    x = 24,988,168,010.16/180,747.65
  6. Step 6: Final answer
    x = 138,248.92

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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.