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Finding the Fourth Proportional to 165,642.80, 248,464.20 and 60,465.20

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Solution

The fourth proportional to 165,642.80, 248,464.20 and 60,465.20 is: 90,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,642.80 : 248,464.20 = 60,465.20 : x
  2. Step 2: Convert to fraction form
    165,642.80/248,464.20 = 60,465.20/x
  3. Step 3: Cross multiply
    165,642.80x = 248,464.20 × 60,465.20
  4. Step 4: Simplify right side
    165,642.80x = 15,023,437,545.84
  5. Step 5: Solve for x
    x = 15,023,437,545.84/165,642.80
  6. Step 6: Final answer
    x = 90,697.80

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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.