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Finding the Fourth Proportional to 243,082.58, 364,623.86 and 65,589.59

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Solution

The fourth proportional to 243,082.58, 364,623.86 and 65,589.59 is: 98,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,082.58 : 364,623.86 = 65,589.59 : x
  2. Step 2: Convert to fraction form
    243,082.58/364,623.86 = 65,589.59/x
  3. Step 3: Cross multiply
    243,082.58x = 364,623.86 × 65,589.59
  4. Step 4: Simplify right side
    243,082.58x = 23,915,528,506.14
  5. Step 5: Solve for x
    x = 23,915,528,506.14/243,082.58
  6. Step 6: Final answer
    x = 98,384.38

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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.