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Finding the Fourth Proportional to 295,041.85, 442,275.51 and 188,092.08

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Solution

The fourth proportional to 295,041.85, 442,275.51 and 188,092.08 is: 281,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,041.85 : 442,275.51 = 188,092.08 : x
  2. Step 2: Convert to fraction form
    295,041.85/442,275.51 = 188,092.08/x
  3. Step 3: Cross multiply
    295,041.85x = 442,275.51 × 188,092.08
  4. Step 4: Simplify right side
    295,041.85x = 83,188,520,608.96
  5. Step 5: Solve for x
    x = 83,188,520,608.96/295,041.85
  6. Step 6: Final answer
    x = 281,954.99

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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.