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Finding the Fourth Proportional to 98,477.64, 147,761.84 and 61,081.56

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Solution

The fourth proportional to 98,477.64, 147,761.84 and 61,081.56 is: 91,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,477.64 : 147,761.84 = 61,081.56 : x
  2. Step 2: Convert to fraction form
    98,477.64/147,761.84 = 61,081.56/x
  3. Step 3: Cross multiply
    98,477.64x = 147,761.84 × 61,081.56
  4. Step 4: Simplify right side
    98,477.64x = 9,025,523,695.67
  5. Step 5: Solve for x
    x = 9,025,523,695.67/98,477.64
  6. Step 6: Final answer
    x = 91,650.49

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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.