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Finding the Fourth Proportional to 243,082.39, 364,623.58 and 65,589.40

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Solution

The fourth proportional to 243,082.39, 364,623.58 and 65,589.40 is: 98,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,082.39 : 364,623.58 = 65,589.40 : x
  2. Step 2: Convert to fraction form
    243,082.39/364,623.58 = 65,589.40/x
  3. Step 3: Cross multiply
    243,082.39x = 364,623.58 × 65,589.40
  4. Step 4: Simplify right side
    243,082.39x = 23,915,441,838.05
  5. Step 5: Solve for x
    x = 23,915,441,838.05/243,082.39
  6. Step 6: Final answer
    x = 98,384.10

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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.