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Finding the Fourth Proportional to 242,878.50, 364,342.06 and 74,396.88

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Solution

The fourth proportional to 242,878.50, 364,342.06 and 74,396.88 is: 111,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,878.50 : 364,342.06 = 74,396.88 : x
  2. Step 2: Convert to fraction form
    242,878.50/364,342.06 = 74,396.88/x
  3. Step 3: Cross multiply
    242,878.50x = 364,342.06 × 74,396.88
  4. Step 4: Simplify right side
    242,878.50x = 27,105,912,144.79
  5. Step 5: Solve for x
    x = 27,105,912,144.79/242,878.50
  6. Step 6: Final answer
    x = 111,602.76

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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.