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Finding the Fourth Proportional to 249,634.50, 374,451.75 and 83,422.50

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Solution

The fourth proportional to 249,634.50, 374,451.75 and 83,422.50 is: 125,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,634.50 : 374,451.75 = 83,422.50 : x
  2. Step 2: Convert to fraction form
    249,634.50/374,451.75 = 83,422.50/x
  3. Step 3: Cross multiply
    249,634.50x = 374,451.75 × 83,422.50
  4. Step 4: Simplify right side
    249,634.50x = 31,237,701,114.38
  5. Step 5: Solve for x
    x = 31,237,701,114.38/249,634.50
  6. Step 6: Final answer
    x = 125,133.75

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