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Finding the Fourth Proportional to 162,849.75, 244,071.87 and 78,594.66

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Solution

The fourth proportional to 162,849.75, 244,071.87 and 78,594.66 is: 117,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,849.75 : 244,071.87 = 78,594.66 : x
  2. Step 2: Convert to fraction form
    162,849.75/244,071.87 = 78,594.66/x
  3. Step 3: Cross multiply
    162,849.75x = 244,071.87 × 78,594.66
  4. Step 4: Simplify right side
    162,849.75x = 19,182,745,638.21
  5. Step 5: Solve for x
    x = 19,182,745,638.21/162,849.75
  6. Step 6: Final answer
    x = 117,794.14

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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.