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Finding the Fourth Proportional to 98,464.72, 147,695.92 and 66,796.32

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Solution

The fourth proportional to 98,464.72, 147,695.92 and 66,796.32 is: 100,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,464.72 : 147,695.92 = 66,796.32 : x
  2. Step 2: Convert to fraction form
    98,464.72/147,695.92 = 66,796.32/x
  3. Step 3: Cross multiply
    98,464.72x = 147,695.92 × 66,796.32
  4. Step 4: Simplify right side
    98,464.72x = 9,865,543,935.01
  5. Step 5: Solve for x
    x = 9,865,543,935.01/98,464.72
  6. Step 6: Final answer
    x = 100,193.69

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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.