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Finding the Fourth Proportional to 99,280.80, 148,947.60 and 43,096.80

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Solution

The fourth proportional to 99,280.80, 148,947.60 and 43,096.80 is: 64,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,280.80 : 148,947.60 = 43,096.80 : x
  2. Step 2: Convert to fraction form
    99,280.80/148,947.60 = 43,096.80/x
  3. Step 3: Cross multiply
    99,280.80x = 148,947.60 × 43,096.80
  4. Step 4: Simplify right side
    99,280.80x = 6,419,164,927.68
  5. Step 5: Solve for x
    x = 6,419,164,927.68/99,280.80
  6. Step 6: Final answer
    x = 64,656.66

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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.