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Finding the Fourth Proportional to 137,970.96, 206,978.04 and 44,486.16

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Solution

The fourth proportional to 137,970.96, 206,978.04 and 44,486.16 is: 66,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,970.96 : 206,978.04 = 44,486.16 : x
  2. Step 2: Convert to fraction form
    137,970.96/206,978.04 = 44,486.16/x
  3. Step 3: Cross multiply
    137,970.96x = 206,978.04 × 44,486.16
  4. Step 4: Simplify right side
    137,970.96x = 9,207,658,203.93
  5. Step 5: Solve for x
    x = 9,207,658,203.93/137,970.96
  6. Step 6: Final answer
    x = 66,736.20

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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.