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Finding the Fourth Proportional to 99,219, 148,826.34 and 24,339.50

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Solution

The fourth proportional to 99,219, 148,826.34 and 24,339.50 is: 36,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,219 : 148,826.34 = 24,339.50 : x
  2. Step 2: Convert to fraction form
    99,219/148,826.34 = 24,339.50/x
  3. Step 3: Cross multiply
    99,219x = 148,826.34 × 24,339.50
  4. Step 4: Simplify right side
    99,219x = 3,622,358,702.43
  5. Step 5: Solve for x
    x = 3,622,358,702.43/99,219
  6. Step 6: Final answer
    x = 36,508.72

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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.