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Finding the Fourth Proportional to 101,642.68, 152,464.02 and 46,254.52

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Solution

The fourth proportional to 101,642.68, 152,464.02 and 46,254.52 is: 69,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,642.68 : 152,464.02 = 46,254.52 : x
  2. Step 2: Convert to fraction form
    101,642.68/152,464.02 = 46,254.52/x
  3. Step 3: Cross multiply
    101,642.68x = 152,464.02 × 46,254.52
  4. Step 4: Simplify right side
    101,642.68x = 7,052,150,062.37
  5. Step 5: Solve for x
    x = 7,052,150,062.37/101,642.68
  6. Step 6: Final answer
    x = 69,381.78

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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.