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Finding the Fourth Proportional to 242,859.66, 364,331.64 and 74,376

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Solution

The fourth proportional to 242,859.66, 364,331.64 and 74,376 is: 111,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,859.66 : 364,331.64 = 74,376 : x
  2. Step 2: Convert to fraction form
    242,859.66/364,331.64 = 74,376/x
  3. Step 3: Cross multiply
    242,859.66x = 364,331.64 × 74,376
  4. Step 4: Simplify right side
    242,859.66x = 27,097,530,056.64
  5. Step 5: Solve for x
    x = 27,097,530,056.64/242,859.66
  6. Step 6: Final answer
    x = 111,576.91

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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.