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Finding the Fourth Proportional to 189,382.38, 284,100.57 and 62,980.98

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Solution

The fourth proportional to 189,382.38, 284,100.57 and 62,980.98 is: 94,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,382.38 : 284,100.57 = 62,980.98 : x
  2. Step 2: Convert to fraction form
    189,382.38/284,100.57 = 62,980.98/x
  3. Step 3: Cross multiply
    189,382.38x = 284,100.57 × 62,980.98
  4. Step 4: Simplify right side
    189,382.38x = 17,892,932,317.16
  5. Step 5: Solve for x
    x = 17,892,932,317.16/189,382.38
  6. Step 6: Final answer
    x = 94,480.45

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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.