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Finding the Fourth Proportional to 220,464.02, 304,238.84 and 119,862.02

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Solution

The fourth proportional to 220,464.02, 304,238.84 and 119,862.02 is: 165,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,464.02 : 304,238.84 = 119,862.02 : x
  2. Step 2: Convert to fraction form
    220,464.02/304,238.84 = 119,862.02/x
  3. Step 3: Cross multiply
    220,464.02x = 304,238.84 × 119,862.02
  4. Step 4: Simplify right side
    220,464.02x = 36,466,681,924.86
  5. Step 5: Solve for x
    x = 36,466,681,924.86/220,464.02
  6. Step 6: Final answer
    x = 165,408.77

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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.