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Finding the Fourth Proportional to 295,870.40, 443,805.60 and 96,197.30

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Solution

The fourth proportional to 295,870.40, 443,805.60 and 96,197.30 is: 144,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,870.40 : 443,805.60 = 96,197.30 : x
  2. Step 2: Convert to fraction form
    295,870.40/443,805.60 = 96,197.30/x
  3. Step 3: Cross multiply
    295,870.40x = 443,805.60 × 96,197.30
  4. Step 4: Simplify right side
    295,870.40x = 42,692,900,444.88
  5. Step 5: Solve for x
    x = 42,692,900,444.88/295,870.40
  6. Step 6: Final answer
    x = 144,295.95

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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.