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Finding the Fourth Proportional to 136,641.60, 188,566.38 and 76,216.14

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Solution

The fourth proportional to 136,641.60, 188,566.38 and 76,216.14 is: 105,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,641.60 : 188,566.38 = 76,216.14 : x
  2. Step 2: Convert to fraction form
    136,641.60/188,566.38 = 76,216.14/x
  3. Step 3: Cross multiply
    136,641.60x = 188,566.38 × 76,216.14
  4. Step 4: Simplify right side
    136,641.60x = 14,371,801,617.37
  5. Step 5: Solve for x
    x = 14,371,801,617.37/136,641.60
  6. Step 6: Final answer
    x = 105,178.82

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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.