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Finding the Fourth Proportional to 295,872.40, 443,808.60 and 96,199.30

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Solution

The fourth proportional to 295,872.40, 443,808.60 and 96,199.30 is: 144,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,872.40 : 443,808.60 = 96,199.30 : x
  2. Step 2: Convert to fraction form
    295,872.40/443,808.60 = 96,199.30/x
  3. Step 3: Cross multiply
    295,872.40x = 443,808.60 × 96,199.30
  4. Step 4: Simplify right side
    295,872.40x = 42,694,076,653.98
  5. Step 5: Solve for x
    x = 42,694,076,653.98/295,872.40
  6. Step 6: Final answer
    x = 144,298.95

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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.