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Finding the Fourth Proportional to 158,645.44, 237,842.16 and 78,627.28

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Solution

The fourth proportional to 158,645.44, 237,842.16 and 78,627.28 is: 117,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,645.44 : 237,842.16 = 78,627.28 : x
  2. Step 2: Convert to fraction form
    158,645.44/237,842.16 = 78,627.28/x
  3. Step 3: Cross multiply
    158,645.44x = 237,842.16 × 78,627.28
  4. Step 4: Simplify right side
    158,645.44x = 18,700,882,110.12
  5. Step 5: Solve for x
    x = 18,700,882,110.12/158,645.44
  6. Step 6: Final answer
    x = 117,878.47

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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.