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Finding the Fourth Proportional to 241,489.40, 362,282.70 and 83,685.20

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Solution

The fourth proportional to 241,489.40, 362,282.70 and 83,685.20 is: 125,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,489.40 : 362,282.70 = 83,685.20 : x
  2. Step 2: Convert to fraction form
    241,489.40/362,282.70 = 83,685.20/x
  3. Step 3: Cross multiply
    241,489.40x = 362,282.70 × 83,685.20
  4. Step 4: Simplify right side
    241,489.40x = 30,317,700,206.04
  5. Step 5: Solve for x
    x = 30,317,700,206.04/241,489.40
  6. Step 6: Final answer
    x = 125,544.64

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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.