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Finding the Fourth Proportional to 120,616.48, 166,341.80 and 75,298.66

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Solution

The fourth proportional to 120,616.48, 166,341.80 and 75,298.66 is: 103,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.48 : 166,341.80 = 75,298.66 : x
  2. Step 2: Convert to fraction form
    120,616.48/166,341.80 = 75,298.66/x
  3. Step 3: Cross multiply
    120,616.48x = 166,341.80 × 75,298.66
  4. Step 4: Simplify right side
    120,616.48x = 12,525,314,641.99
  5. Step 5: Solve for x
    x = 12,525,314,641.99/120,616.48
  6. Step 6: Final answer
    x = 103,844.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.