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Finding the Fourth Proportional to 114,758.92, 158,279.64 and 83,032.84

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Solution

The fourth proportional to 114,758.92, 158,279.64 and 83,032.84 is: 114,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,758.92 : 158,279.64 = 83,032.84 : x
  2. Step 2: Convert to fraction form
    114,758.92/158,279.64 = 83,032.84/x
  3. Step 3: Cross multiply
    114,758.92x = 158,279.64 × 83,032.84
  4. Step 4: Simplify right side
    114,758.92x = 13,142,408,023.38
  5. Step 5: Solve for x
    x = 13,142,408,023.38/114,758.92
  6. Step 6: Final answer
    x = 114,521.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.