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Finding the Fourth Proportional to 242,877.16, 364,316.64 and 74,396.80

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Solution

The fourth proportional to 242,877.16, 364,316.64 and 74,396.80 is: 111,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,877.16 : 364,316.64 = 74,396.80 : x
  2. Step 2: Convert to fraction form
    242,877.16/364,316.64 = 74,396.80/x
  3. Step 3: Cross multiply
    242,877.16x = 364,316.64 × 74,396.80
  4. Step 4: Simplify right side
    242,877.16x = 27,103,992,202.75
  5. Step 5: Solve for x
    x = 27,103,992,202.75/242,877.16
  6. Step 6: Final answer
    x = 111,595.48

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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.