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Finding the Fourth Proportional to 123,406.95, 185,117.35 and 34,653.54

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Solution

The fourth proportional to 123,406.95, 185,117.35 and 34,653.54 is: 51,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,406.95 : 185,117.35 = 34,653.54 : x
  2. Step 2: Convert to fraction form
    123,406.95/185,117.35 = 34,653.54/x
  3. Step 3: Cross multiply
    123,406.95x = 185,117.35 × 34,653.54
  4. Step 4: Simplify right side
    123,406.95x = 6,414,970,842.05
  5. Step 5: Solve for x
    x = 6,414,970,842.05/123,406.95
  6. Step 6: Final answer
    x = 51,982.25

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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.