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Finding the Fourth Proportional to 137,777.90, 206,474.40 and 74,461.55

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Solution

The fourth proportional to 137,777.90, 206,474.40 and 74,461.55 is: 111,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,777.90 : 206,474.40 = 74,461.55 : x
  2. Step 2: Convert to fraction form
    137,777.90/206,474.40 = 74,461.55/x
  3. Step 3: Cross multiply
    137,777.90x = 206,474.40 × 74,461.55
  4. Step 4: Simplify right side
    137,777.90x = 15,374,402,826.95
  5. Step 5: Solve for x
    x = 15,374,402,826.95/137,777.90
  6. Step 6: Final answer
    x = 111,588.31

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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.