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Finding the Fourth Proportional to 410,041.80, 615,062.70 and 144,102.60

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Solution

The fourth proportional to 410,041.80, 615,062.70 and 144,102.60 is: 216,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,041.80 : 615,062.70 = 144,102.60 : x
  2. Step 2: Convert to fraction form
    410,041.80/615,062.70 = 144,102.60/x
  3. Step 3: Cross multiply
    410,041.80x = 615,062.70 × 144,102.60
  4. Step 4: Simplify right side
    410,041.80x = 88,632,134,233.02
  5. Step 5: Solve for x
    x = 88,632,134,233.02/410,041.80
  6. Step 6: Final answer
    x = 216,153.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.