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Finding the Fourth Proportional to 295,101.23, 442,791.89 and 152,919.93

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Solution

The fourth proportional to 295,101.23, 442,791.89 and 152,919.93 is: 229,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,101.23 : 442,791.89 = 152,919.93 : x
  2. Step 2: Convert to fraction form
    295,101.23/442,791.89 = 152,919.93/x
  3. Step 3: Cross multiply
    295,101.23x = 442,791.89 × 152,919.93
  4. Step 4: Simplify right side
    295,101.23x = 67,711,705,205.67
  5. Step 5: Solve for x
    x = 67,711,705,205.67/295,101.23
  6. Step 6: Final answer
    x = 229,452.46

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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.