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Finding the Fourth Proportional to 99,137.07, 148,704.30 and 24,257.88

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Solution

The fourth proportional to 99,137.07, 148,704.30 and 24,257.88 is: 36,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,137.07 : 148,704.30 = 24,257.88 : x
  2. Step 2: Convert to fraction form
    99,137.07/148,704.30 = 24,257.88/x
  3. Step 3: Cross multiply
    99,137.07x = 148,704.30 × 24,257.88
  4. Step 4: Simplify right side
    99,137.07x = 3,607,251,064.88
  5. Step 5: Solve for x
    x = 3,607,251,064.88/99,137.07
  6. Step 6: Final answer
    x = 36,386.50

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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.