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Finding the Fourth Proportional to 98,313.44, 147,470.43 and 65,027.30

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Solution

The fourth proportional to 98,313.44, 147,470.43 and 65,027.30 is: 97,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,313.44 : 147,470.43 = 65,027.30 : x
  2. Step 2: Convert to fraction form
    98,313.44/147,470.43 = 65,027.30/x
  3. Step 3: Cross multiply
    98,313.44x = 147,470.43 × 65,027.30
  4. Step 4: Simplify right side
    98,313.44x = 9,589,603,892.74
  5. Step 5: Solve for x
    x = 9,589,603,892.74/98,313.44
  6. Step 6: Final answer
    x = 97,541.13

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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.