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Finding the Fourth Proportional to 120,395, 179,860.33 and 77,929.12

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Solution

The fourth proportional to 120,395, 179,860.33 and 77,929.12 is: 116,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,395 : 179,860.33 = 77,929.12 : x
  2. Step 2: Convert to fraction form
    120,395/179,860.33 = 77,929.12/x
  3. Step 3: Cross multiply
    120,395x = 179,860.33 × 77,929.12
  4. Step 4: Simplify right side
    120,395x = 14,016,357,239.81
  5. Step 5: Solve for x
    x = 14,016,357,239.81/120,395
  6. Step 6: Final answer
    x = 116,419.76

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