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Finding the Fourth Proportional to 235,996.16, 353,162.40 and 147,291.20

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Solution

The fourth proportional to 235,996.16, 353,162.40 and 147,291.20 is: 220,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,996.16 : 353,162.40 = 147,291.20 : x
  2. Step 2: Convert to fraction form
    235,996.16/353,162.40 = 147,291.20/x
  3. Step 3: Cross multiply
    235,996.16x = 353,162.40 × 147,291.20
  4. Step 4: Simplify right side
    235,996.16x = 52,017,713,690.88
  5. Step 5: Solve for x
    x = 52,017,713,690.88/235,996.16
  6. Step 6: Final answer
    x = 220,417.63

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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.