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Finding the Fourth Proportional to 200,595.78, 300,922.65 and 107,050.50

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Solution

The fourth proportional to 200,595.78, 300,922.65 and 107,050.50 is: 160,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,595.78 : 300,922.65 = 107,050.50 : x
  2. Step 2: Convert to fraction form
    200,595.78/300,922.65 = 107,050.50/x
  3. Step 3: Cross multiply
    200,595.78x = 300,922.65 × 107,050.50
  4. Step 4: Simplify right side
    200,595.78x = 32,213,920,143.83
  5. Step 5: Solve for x
    x = 32,213,920,143.83/200,595.78
  6. Step 6: Final answer
    x = 160,591.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.