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Finding the Fourth Proportional to 123,916.76, 185,878.78 and 30,422.50

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Solution

The fourth proportional to 123,916.76, 185,878.78 and 30,422.50 is: 45,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,916.76 : 185,878.78 = 30,422.50 : x
  2. Step 2: Convert to fraction form
    123,916.76/185,878.78 = 30,422.50/x
  3. Step 3: Cross multiply
    123,916.76x = 185,878.78 × 30,422.50
  4. Step 4: Simplify right side
    123,916.76x = 5,654,897,184.55
  5. Step 5: Solve for x
    x = 5,654,897,184.55/123,916.76
  6. Step 6: Final answer
    x = 45,634.64

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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.