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Finding the Fourth Proportional to 137,723.60, 206,585.40 and 121,102.40

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Solution

The fourth proportional to 137,723.60, 206,585.40 and 121,102.40 is: 181,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,723.60 : 206,585.40 = 121,102.40 : x
  2. Step 2: Convert to fraction form
    137,723.60/206,585.40 = 121,102.40/x
  3. Step 3: Cross multiply
    137,723.60x = 206,585.40 × 121,102.40
  4. Step 4: Simplify right side
    137,723.60x = 25,017,987,744.96
  5. Step 5: Solve for x
    x = 25,017,987,744.96/137,723.60
  6. Step 6: Final answer
    x = 181,653.60

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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.