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Finding the Fourth Proportional to 107,309.84, 160,997.72 and 51,221.52

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Solution

The fourth proportional to 107,309.84, 160,997.72 and 51,221.52 is: 76,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,309.84 : 160,997.72 = 51,221.52 : x
  2. Step 2: Convert to fraction form
    107,309.84/160,997.72 = 51,221.52/x
  3. Step 3: Cross multiply
    107,309.84x = 160,997.72 × 51,221.52
  4. Step 4: Simplify right side
    107,309.84x = 8,246,547,934.93
  5. Step 5: Solve for x
    x = 8,246,547,934.93/107,309.84
  6. Step 6: Final answer
    x = 76,848.01

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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.