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Finding the Fourth Proportional to 249,009.50, 373,517.50 and 82,797.50

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Solution

The fourth proportional to 249,009.50, 373,517.50 and 82,797.50 is: 124,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,009.50 : 373,517.50 = 82,797.50 : x
  2. Step 2: Convert to fraction form
    249,009.50/373,517.50 = 82,797.50/x
  3. Step 3: Cross multiply
    249,009.50x = 373,517.50 × 82,797.50
  4. Step 4: Simplify right side
    249,009.50x = 30,926,315,206.25
  5. Step 5: Solve for x
    x = 30,926,315,206.25/249,009.50
  6. Step 6: Final answer
    x = 124,197.33

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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.