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Finding the Fourth Proportional to 295,761.96, 443,682.90 and 96,017.58

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Solution

The fourth proportional to 295,761.96, 443,682.90 and 96,017.58 is: 144,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,761.96 : 443,682.90 = 96,017.58 : x
  2. Step 2: Convert to fraction form
    295,761.96/443,682.90 = 96,017.58/x
  3. Step 3: Cross multiply
    295,761.96x = 443,682.90 × 96,017.58
  4. Step 4: Simplify right side
    295,761.96x = 42,601,358,345.38
  5. Step 5: Solve for x
    x = 42,601,358,345.38/295,761.96
  6. Step 6: Final answer
    x = 144,039.34

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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.