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Finding the Fourth Proportional to 137,585.44, 206,378.16 and 110,058.40

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Solution

The fourth proportional to 137,585.44, 206,378.16 and 110,058.40 is: 165,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.44 : 206,378.16 = 110,058.40 : x
  2. Step 2: Convert to fraction form
    137,585.44/206,378.16 = 110,058.40/x
  3. Step 3: Cross multiply
    137,585.44x = 206,378.16 × 110,058.40
  4. Step 4: Simplify right side
    137,585.44x = 22,713,650,084.54
  5. Step 5: Solve for x
    x = 22,713,650,084.54/137,585.44
  6. Step 6: Final answer
    x = 165,087.60

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1.5x scale

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.