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Finding the Fourth Proportional to 135,642.95, 187,189.52 and 75,216.14

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Solution

The fourth proportional to 135,642.95, 187,189.52 and 75,216.14 is: 103,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.95 : 187,189.52 = 75,216.14 : x
  2. Step 2: Convert to fraction form
    135,642.95/187,189.52 = 75,216.14/x
  3. Step 3: Cross multiply
    135,642.95x = 187,189.52 × 75,216.14
  4. Step 4: Simplify right side
    135,642.95x = 14,079,671,830.82
  5. Step 5: Solve for x
    x = 14,079,671,830.82/135,642.95
  6. Step 6: Final answer
    x = 103,799.51

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1.5x scale

Why These Related Problems?

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