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Finding the Fourth Proportional to 145,989.40, 218,984.10 and 82,785.10

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Solution

The fourth proportional to 145,989.40, 218,984.10 and 82,785.10 is: 124,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,989.40 : 218,984.10 = 82,785.10 : x
  2. Step 2: Convert to fraction form
    145,989.40/218,984.10 = 82,785.10/x
  3. Step 3: Cross multiply
    145,989.40x = 218,984.10 × 82,785.10
  4. Step 4: Simplify right side
    145,989.40x = 18,128,620,616.91
  5. Step 5: Solve for x
    x = 18,128,620,616.91/145,989.40
  6. Step 6: Final answer
    x = 124,177.65

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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.