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Finding the Fourth Proportional to 107,651.98, 161,478.06 and 51,478.84

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Solution

The fourth proportional to 107,651.98, 161,478.06 and 51,478.84 is: 77,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,651.98 : 161,478.06 = 51,478.84 : x
  2. Step 2: Convert to fraction form
    107,651.98/161,478.06 = 51,478.84/x
  3. Step 3: Cross multiply
    107,651.98x = 161,478.06 × 51,478.84
  4. Step 4: Simplify right side
    107,651.98x = 8,312,703,214.25
  5. Step 5: Solve for x
    x = 8,312,703,214.25/107,651.98
  6. Step 6: Final answer
    x = 77,218.30

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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.