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Finding the Fourth Proportional to 295,698.30, 443,438.10 and 96,025.20

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Solution

The fourth proportional to 295,698.30, 443,438.10 and 96,025.20 is: 144,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698.30 : 443,438.10 = 96,025.20 : x
  2. Step 2: Convert to fraction form
    295,698.30/443,438.10 = 96,025.20/x
  3. Step 3: Cross multiply
    295,698.30x = 443,438.10 × 96,025.20
  4. Step 4: Simplify right side
    295,698.30x = 42,581,232,240.12
  5. Step 5: Solve for x
    x = 42,581,232,240.12/295,698.30
  6. Step 6: Final answer
    x = 144,002.29

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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.