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Finding the Fourth Proportional to 189,165, 283,718.34 and 62,860.08

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Solution

The fourth proportional to 189,165, 283,718.34 and 62,860.08 is: 94,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,165 : 283,718.34 = 62,860.08 : x
  2. Step 2: Convert to fraction form
    189,165/283,718.34 = 62,860.08/x
  3. Step 3: Cross multiply
    189,165x = 283,718.34 × 62,860.08
  4. Step 4: Simplify right side
    189,165x = 17,834,557,549.87
  5. Step 5: Solve for x
    x = 17,834,557,549.87/189,165
  6. Step 6: Final answer
    x = 94,280.43

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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.