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Finding the Fourth Proportional to 98,832.16, 148,199.88 and 48,896.08

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Solution

The fourth proportional to 98,832.16, 148,199.88 and 48,896.08 is: 73,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,832.16 : 148,199.88 = 48,896.08 : x
  2. Step 2: Convert to fraction form
    98,832.16/148,199.88 = 48,896.08/x
  3. Step 3: Cross multiply
    98,832.16x = 148,199.88 × 48,896.08
  4. Step 4: Simplify right side
    98,832.16x = 7,246,393,188.47
  5. Step 5: Solve for x
    x = 7,246,393,188.47/98,832.16
  6. Step 6: Final answer
    x = 73,320.19

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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.