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Finding the Fourth Proportional to 242,884.64, 335,147.28 and 135,442.08

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Solution

The fourth proportional to 242,884.64, 335,147.28 and 135,442.08 is: 186,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,884.64 : 335,147.28 = 135,442.08 : x
  2. Step 2: Convert to fraction form
    242,884.64/335,147.28 = 135,442.08/x
  3. Step 3: Cross multiply
    242,884.64x = 335,147.28 × 135,442.08
  4. Step 4: Simplify right side
    242,884.64x = 45,393,044,709.54
  5. Step 5: Solve for x
    x = 45,393,044,709.54/242,884.64
  6. Step 6: Final answer
    x = 186,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.