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Finding the Fourth Proportional to 180,524.67, 249,131.84 and 99,952.20

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Solution

The fourth proportional to 180,524.67, 249,131.84 and 99,952.20 is: 137,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,524.67 : 249,131.84 = 99,952.20 : x
  2. Step 2: Convert to fraction form
    180,524.67/249,131.84 = 99,952.20/x
  3. Step 3: Cross multiply
    180,524.67x = 249,131.84 × 99,952.20
  4. Step 4: Simplify right side
    180,524.67x = 24,901,275,498.05
  5. Step 5: Solve for x
    x = 24,901,275,498.05/180,524.67
  6. Step 6: Final answer
    x = 137,938.35

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1.5x scale

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.