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Finding the Fourth Proportional to 220,681, 304,544.64 and 120,079

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Solution

The fourth proportional to 220,681, 304,544.64 and 120,079 is: 165,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,681 : 304,544.64 = 120,079 : x
  2. Step 2: Convert to fraction form
    220,681/304,544.64 = 120,079/x
  3. Step 3: Cross multiply
    220,681x = 304,544.64 × 120,079
  4. Step 4: Simplify right side
    220,681x = 36,569,415,826.56
  5. Step 5: Solve for x
    x = 36,569,415,826.56/220,681
  6. Step 6: Final answer
    x = 165,711.66

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