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Finding the Fourth Proportional to 295,496.10, 443,114.55 and 117,944.10

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Solution

The fourth proportional to 295,496.10, 443,114.55 and 117,944.10 is: 176,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,496.10 : 443,114.55 = 117,944.10 : x
  2. Step 2: Convert to fraction form
    295,496.10/443,114.55 = 117,944.10/x
  3. Step 3: Cross multiply
    295,496.10x = 443,114.55 × 117,944.10
  4. Step 4: Simplify right side
    295,496.10x = 52,262,746,796.66
  5. Step 5: Solve for x
    x = 52,262,746,796.66/295,496.10
  6. Step 6: Final answer
    x = 176,864.42

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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.