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Finding the Fourth Proportional to 189,057.15, 260,895.78 and 103,017.17

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Solution

The fourth proportional to 189,057.15, 260,895.78 and 103,017.17 is: 142,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,057.15 : 260,895.78 = 103,017.17 : x
  2. Step 2: Convert to fraction form
    189,057.15/260,895.78 = 103,017.17/x
  3. Step 3: Cross multiply
    189,057.15x = 260,895.78 × 103,017.17
  4. Step 4: Simplify right side
    189,057.15x = 26,876,743,616.06
  5. Step 5: Solve for x
    x = 26,876,743,616.06/189,057.15
  6. Step 6: Final answer
    x = 142,162.01

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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.