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Finding the Fourth Proportional to 180,546.87, 249,414.21 and 144,200.60

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Solution

The fourth proportional to 180,546.87, 249,414.21 and 144,200.60 is: 199,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,546.87 : 249,414.21 = 144,200.60 : x
  2. Step 2: Convert to fraction form
    180,546.87/249,414.21 = 144,200.60/x
  3. Step 3: Cross multiply
    180,546.87x = 249,414.21 × 144,200.60
  4. Step 4: Simplify right side
    180,546.87x = 35,965,677,483.46
  5. Step 5: Solve for x
    x = 35,965,677,483.46/180,546.87
  6. Step 6: Final answer
    x = 199,204.10

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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.