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Finding the Fourth Proportional to 98,838.24, 148,212.48 and 42,651.72

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Solution

The fourth proportional to 98,838.24, 148,212.48 and 42,651.72 is: 63,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,838.24 : 148,212.48 = 42,651.72 : x
  2. Step 2: Convert to fraction form
    98,838.24/148,212.48 = 42,651.72/x
  3. Step 3: Cross multiply
    98,838.24x = 148,212.48 × 42,651.72
  4. Step 4: Simplify right side
    98,838.24x = 6,321,517,197.47
  5. Step 5: Solve for x
    x = 6,321,517,197.47/98,838.24
  6. Step 6: Final answer
    x = 63,958.21

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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.