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Finding the Fourth Proportional to 310,780.72, 466,103.64 and 111,114.92

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Solution

The fourth proportional to 310,780.72, 466,103.64 and 111,114.92 is: 166,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,780.72 : 466,103.64 = 111,114.92 : x
  2. Step 2: Convert to fraction form
    310,780.72/466,103.64 = 111,114.92/x
  3. Step 3: Cross multiply
    310,780.72x = 466,103.64 × 111,114.92
  4. Step 4: Simplify right side
    310,780.72x = 51,791,068,670.31
  5. Step 5: Solve for x
    x = 51,791,068,670.31/310,780.72
  6. Step 6: Final answer
    x = 166,648.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.