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Finding the Fourth Proportional to 180,737.80, 249,418.16 and 100,177.44

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Solution

The fourth proportional to 180,737.80, 249,418.16 and 100,177.44 is: 138,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,737.80 : 249,418.16 = 100,177.44 : x
  2. Step 2: Convert to fraction form
    180,737.80/249,418.16 = 100,177.44/x
  3. Step 3: Cross multiply
    180,737.80x = 249,418.16 × 100,177.44
  4. Step 4: Simplify right side
    180,737.80x = 24,986,072,758.31
  5. Step 5: Solve for x
    x = 24,986,072,758.31/180,737.80
  6. Step 6: Final answer
    x = 138,244.86

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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.