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Finding the Fourth Proportional to 99,219.87, 148,830.22 and 24,340.50

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Solution

The fourth proportional to 99,219.87, 148,830.22 and 24,340.50 is: 36,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,219.87 : 148,830.22 = 24,340.50 : x
  2. Step 2: Convert to fraction form
    99,219.87/148,830.22 = 24,340.50/x
  3. Step 3: Cross multiply
    99,219.87x = 148,830.22 × 24,340.50
  4. Step 4: Simplify right side
    99,219.87x = 3,622,602,220.28
  5. Step 5: Solve for x
    x = 3,622,602,220.28/99,219.87
  6. Step 6: Final answer
    x = 36,510.85

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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.