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Finding the Fourth Proportional to 295,830.24, 443,815.20 and 96,151.20

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Solution

The fourth proportional to 295,830.24, 443,815.20 and 96,151.20 is: 144,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,830.24 : 443,815.20 = 96,151.20 : x
  2. Step 2: Convert to fraction form
    295,830.24/443,815.20 = 96,151.20/x
  3. Step 3: Cross multiply
    295,830.24x = 443,815.20 × 96,151.20
  4. Step 4: Simplify right side
    295,830.24x = 42,673,364,058.24
  5. Step 5: Solve for x
    x = 42,673,364,058.24/295,830.24
  6. Step 6: Final answer
    x = 144,249.50

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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.