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Finding the Fourth Proportional to 295,921, 443,939.82 and 96,228.52

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Solution

The fourth proportional to 295,921, 443,939.82 and 96,228.52 is: 144,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,921 : 443,939.82 = 96,228.52 : x
  2. Step 2: Convert to fraction form
    295,921/443,939.82 = 96,228.52/x
  3. Step 3: Cross multiply
    295,921x = 443,939.82 × 96,228.52
  4. Step 4: Simplify right side
    295,921x = 42,719,671,847.67
  5. Step 5: Solve for x
    x = 42,719,671,847.67/295,921
  6. Step 6: Final answer
    x = 144,361.74

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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.