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Finding the Fourth Proportional to 295,740.96, 443,648.29 and 115,803.15

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Solution

The fourth proportional to 295,740.96, 443,648.29 and 115,803.15 is: 173,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,740.96 : 443,648.29 = 115,803.15 : x
  2. Step 2: Convert to fraction form
    295,740.96/443,648.29 = 115,803.15/x
  3. Step 3: Cross multiply
    295,740.96x = 443,648.29 × 115,803.15
  4. Step 4: Simplify right side
    295,740.96x = 51,375,869,474.11
  5. Step 5: Solve for x
    x = 51,375,869,474.11/295,740.96
  6. Step 6: Final answer
    x = 173,719.15

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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.