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Finding the Fourth Proportional to 362,051.68, 543,155.52 and 109,311.20

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Solution

The fourth proportional to 362,051.68, 543,155.52 and 109,311.20 is: 163,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,051.68 : 543,155.52 = 109,311.20 : x
  2. Step 2: Convert to fraction form
    362,051.68/543,155.52 = 109,311.20/x
  3. Step 3: Cross multiply
    362,051.68x = 543,155.52 × 109,311.20
  4. Step 4: Simplify right side
    362,051.68x = 59,372,981,677.82
  5. Step 5: Solve for x
    x = 59,372,981,677.82/362,051.68
  6. Step 6: Final answer
    x = 163,990.35

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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.