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Finding the Fourth Proportional to 200,415.60, 300,625.92 and 60,166.08

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Solution

The fourth proportional to 200,415.60, 300,625.92 and 60,166.08 is: 90,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,415.60 : 300,625.92 = 60,166.08 : x
  2. Step 2: Convert to fraction form
    200,415.60/300,625.92 = 60,166.08/x
  3. Step 3: Cross multiply
    200,415.60x = 300,625.92 × 60,166.08
  4. Step 4: Simplify right side
    200,415.60x = 18,087,483,152.79
  5. Step 5: Solve for x
    x = 18,087,483,152.79/200,415.60
  6. Step 6: Final answer
    x = 90,249.88

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