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Finding the Fourth Proportional to 189,406.72, 261,382.80 and 103,366.38

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Solution

The fourth proportional to 189,406.72, 261,382.80 and 103,366.38 is: 142,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,406.72 : 261,382.80 = 103,366.38 : x
  2. Step 2: Convert to fraction form
    189,406.72/261,382.80 = 103,366.38/x
  3. Step 3: Cross multiply
    189,406.72x = 261,382.80 × 103,366.38
  4. Step 4: Simplify right side
    189,406.72x = 27,018,193,830.26
  5. Step 5: Solve for x
    x = 27,018,193,830.26/189,406.72
  6. Step 6: Final answer
    x = 142,646.44

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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.