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Finding the Fourth Proportional to 154,098.50, 212,655.93 and 83,442.50

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Solution

The fourth proportional to 154,098.50, 212,655.93 and 83,442.50 is: 115,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,098.50 : 212,655.93 = 83,442.50 : x
  2. Step 2: Convert to fraction form
    154,098.50/212,655.93 = 83,442.50/x
  3. Step 3: Cross multiply
    154,098.50x = 212,655.93 × 83,442.50
  4. Step 4: Simplify right side
    154,098.50x = 17,744,542,439.03
  5. Step 5: Solve for x
    x = 17,744,542,439.03/154,098.50
  6. Step 6: Final answer
    x = 115,150.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.