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Finding the Fourth Proportional to 220,656, 304,506.24 and 120,053.76

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Solution

The fourth proportional to 220,656, 304,506.24 and 120,053.76 is: 165,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,656 : 304,506.24 = 120,053.76 : x
  2. Step 2: Convert to fraction form
    220,656/304,506.24 = 120,053.76/x
  3. Step 3: Cross multiply
    220,656x = 304,506.24 × 120,053.76
  4. Step 4: Simplify right side
    220,656x = 36,557,119,055.46
  5. Step 5: Solve for x
    x = 36,557,119,055.46/220,656
  6. Step 6: Final answer
    x = 165,674.71

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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.