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Finding the Fourth Proportional to 180,532.44, 249,148.78 and 99,967.46

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Solution

The fourth proportional to 180,532.44, 249,148.78 and 99,967.46 is: 137,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,532.44 : 249,148.78 = 99,967.46 : x
  2. Step 2: Convert to fraction form
    180,532.44/249,148.78 = 99,967.46/x
  3. Step 3: Cross multiply
    180,532.44x = 249,148.78 × 99,967.46
  4. Step 4: Simplify right side
    180,532.44x = 24,906,770,698.70
  5. Step 5: Solve for x
    x = 24,906,770,698.70/180,532.44
  6. Step 6: Final answer
    x = 137,962.85

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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.