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Finding the Fourth Proportional to 136,767.60, 205,036.20 and 71,103.60

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Solution

The fourth proportional to 136,767.60, 205,036.20 and 71,103.60 is: 106,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,767.60 : 205,036.20 = 71,103.60 : x
  2. Step 2: Convert to fraction form
    136,767.60/205,036.20 = 71,103.60/x
  3. Step 3: Cross multiply
    136,767.60x = 205,036.20 × 71,103.60
  4. Step 4: Simplify right side
    136,767.60x = 14,578,811,950.32
  5. Step 5: Solve for x
    x = 14,578,811,950.32/136,767.60
  6. Step 6: Final answer
    x = 106,595.51

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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.