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Finding the Fourth Proportional to 243,715.30, 365,054.55 and 202,243.30

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Solution

The fourth proportional to 243,715.30, 365,054.55 and 202,243.30 is: 302,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,715.30 : 365,054.55 = 202,243.30 : x
  2. Step 2: Convert to fraction form
    243,715.30/365,054.55 = 202,243.30/x
  3. Step 3: Cross multiply
    243,715.30x = 365,054.55 × 202,243.30
  4. Step 4: Simplify right side
    243,715.30x = 73,829,836,872.02
  5. Step 5: Solve for x
    x = 73,829,836,872.02/243,715.30
  6. Step 6: Final answer
    x = 302,934.76

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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.