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Finding the Fourth Proportional to 243,233.02, 364,868.99 and 85,496.86

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Solution

The fourth proportional to 243,233.02, 364,868.99 and 85,496.86 is: 128,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,233.02 : 364,868.99 = 85,496.86 : x
  2. Step 2: Convert to fraction form
    243,233.02/364,868.99 = 85,496.86/x
  3. Step 3: Cross multiply
    243,233.02x = 364,868.99 × 85,496.86
  4. Step 4: Simplify right side
    243,233.02x = 31,195,150,704.54
  5. Step 5: Solve for x
    x = 31,195,150,704.54/243,233.02
  6. Step 6: Final answer
    x = 128,252.12

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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.