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Finding the Fourth Proportional to 305,772.80, 458,544.38 and 106,045.02

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Solution

The fourth proportional to 305,772.80, 458,544.38 and 106,045.02 is: 159,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,772.80 : 458,544.38 = 106,045.02 : x
  2. Step 2: Convert to fraction form
    305,772.80/458,544.38 = 106,045.02/x
  3. Step 3: Cross multiply
    305,772.80x = 458,544.38 × 106,045.02
  4. Step 4: Simplify right side
    305,772.80x = 48,626,347,417.76
  5. Step 5: Solve for x
    x = 48,626,347,417.76/305,772.80
  6. Step 6: Final answer
    x = 159,027.71

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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.