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Finding the Fourth Proportional to 243,864.30, 365,278.05 and 202,392.30

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Solution

The fourth proportional to 243,864.30, 365,278.05 and 202,392.30 is: 303,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,864.30 : 365,278.05 = 202,392.30 : x
  2. Step 2: Convert to fraction form
    243,864.30/365,278.05 = 202,392.30/x
  3. Step 3: Cross multiply
    243,864.30x = 365,278.05 × 202,392.30
  4. Step 4: Simplify right side
    243,864.30x = 73,929,464,679.02
  5. Step 5: Solve for x
    x = 73,929,464,679.02/243,864.30
  6. Step 6: Final answer
    x = 303,158.21

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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.