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Finding the Fourth Proportional to 78,405.82, 116,778.85 and 78,023.52

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Solution

The fourth proportional to 78,405.82, 116,778.85 and 78,023.52 is: 116,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.82 : 116,778.85 = 78,023.52 : x
  2. Step 2: Convert to fraction form
    78,405.82/116,778.85 = 78,023.52/x
  3. Step 3: Cross multiply
    78,405.82x = 116,778.85 × 78,023.52
  4. Step 4: Simplify right side
    78,405.82x = 9,111,496,743.49
  5. Step 5: Solve for x
    x = 9,111,496,743.49/78,405.82
  6. Step 6: Final answer
    x = 116,209.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.