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Finding the Fourth Proportional to 99,245.96, 148,846.50 and 29,130.74

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Solution

The fourth proportional to 99,245.96, 148,846.50 and 29,130.74 is: 43,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,245.96 : 148,846.50 = 29,130.74 : x
  2. Step 2: Convert to fraction form
    99,245.96/148,846.50 = 29,130.74/x
  3. Step 3: Cross multiply
    99,245.96x = 148,846.50 × 29,130.74
  4. Step 4: Simplify right side
    99,245.96x = 4,336,008,691.41
  5. Step 5: Solve for x
    x = 4,336,008,691.41/99,245.96
  6. Step 6: Final answer
    x = 43,689.52

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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.