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Finding the Fourth Proportional to 242,000.90, 363,101.07 and 106,993.96

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Solution

The fourth proportional to 242,000.90, 363,101.07 and 106,993.96 is: 160,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,000.90 : 363,101.07 = 106,993.96 : x
  2. Step 2: Convert to fraction form
    242,000.90/363,101.07 = 106,993.96/x
  3. Step 3: Cross multiply
    242,000.90x = 363,101.07 × 106,993.96
  4. Step 4: Simplify right side
    242,000.90x = 38,849,621,359.54
  5. Step 5: Solve for x
    x = 38,849,621,359.54/242,000.90
  6. Step 6: Final answer
    x = 160,535.03

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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.