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Finding the Fourth Proportional to 220,633.29, 304,475.27 and 120,032.01

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Solution

The fourth proportional to 220,633.29, 304,475.27 and 120,032.01 is: 165,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,633.29 : 304,475.27 = 120,032.01 : x
  2. Step 2: Convert to fraction form
    220,633.29/304,475.27 = 120,032.01/x
  3. Step 3: Cross multiply
    220,633.29x = 304,475.27 × 120,032.01
  4. Step 4: Simplify right side
    220,633.29x = 36,546,778,053.23
  5. Step 5: Solve for x
    x = 36,546,778,053.23/220,633.29
  6. Step 6: Final answer
    x = 165,644.89

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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.