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Finding the Fourth Proportional to 243,956, 365,601.24 and 149,219.12

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Solution

The fourth proportional to 243,956, 365,601.24 and 149,219.12 is: 223,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,956 : 365,601.24 = 149,219.12 : x
  2. Step 2: Convert to fraction form
    243,956/365,601.24 = 149,219.12/x
  3. Step 3: Cross multiply
    243,956x = 365,601.24 × 149,219.12
  4. Step 4: Simplify right side
    243,956x = 54,554,695,303.71
  5. Step 5: Solve for x
    x = 54,554,695,303.71/243,956
  6. Step 6: Final answer
    x = 223,625.14

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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.