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Finding the Fourth Proportional to 137,476.48, 206,170.80 and 43,960

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Solution

The fourth proportional to 137,476.48, 206,170.80 and 43,960 is: 65,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,476.48 : 206,170.80 = 43,960 : x
  2. Step 2: Convert to fraction form
    137,476.48/206,170.80 = 43,960/x
  3. Step 3: Cross multiply
    137,476.48x = 206,170.80 × 43,960
  4. Step 4: Simplify right side
    137,476.48x = 9,063,268,368
  5. Step 5: Solve for x
    x = 9,063,268,368/137,476.48
  6. Step 6: Final answer
    x = 65,925.96

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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.