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Finding the Fourth Proportional to 180,773.52, 249,475.80 and 100,202.76

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Solution

The fourth proportional to 180,773.52, 249,475.80 and 100,202.76 is: 138,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,773.52 : 249,475.80 = 100,202.76 : x
  2. Step 2: Convert to fraction form
    180,773.52/249,475.80 = 100,202.76/x
  3. Step 3: Cross multiply
    180,773.52x = 249,475.80 × 100,202.76
  4. Step 4: Simplify right side
    180,773.52x = 24,998,163,713.21
  5. Step 5: Solve for x
    x = 24,998,163,713.21/180,773.52
  6. Step 6: Final answer
    x = 138,284.43

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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.