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Finding the Fourth Proportional to 147,584, 203,665.72 and 80,516

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Solution

The fourth proportional to 147,584, 203,665.72 and 80,516 is: 111,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,584 : 203,665.72 = 80,516 : x
  2. Step 2: Convert to fraction form
    147,584/203,665.72 = 80,516/x
  3. Step 3: Cross multiply
    147,584x = 203,665.72 × 80,516
  4. Step 4: Simplify right side
    147,584x = 16,398,349,111.52
  5. Step 5: Solve for x
    x = 16,398,349,111.52/147,584
  6. Step 6: Final answer
    x = 111,111.97

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