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Finding the Fourth Proportional to 252,406.01, 378,565.26 and 65,417.51

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Solution

The fourth proportional to 252,406.01, 378,565.26 and 65,417.51 is: 98,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,406.01 : 378,565.26 = 65,417.51 : x
  2. Step 2: Convert to fraction form
    252,406.01/378,565.26 = 65,417.51/x
  3. Step 3: Cross multiply
    252,406.01x = 378,565.26 × 65,417.51
  4. Step 4: Simplify right side
    252,406.01x = 24,764,794,788.88
  5. Step 5: Solve for x
    x = 24,764,794,788.88/252,406.01
  6. Step 6: Final answer
    x = 98,114.92

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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.