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Finding the Fourth Proportional to 242,753.82, 364,130.73 and 159,628.38

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Solution

The fourth proportional to 242,753.82, 364,130.73 and 159,628.38 is: 239,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,753.82 : 364,130.73 = 159,628.38 : x
  2. Step 2: Convert to fraction form
    242,753.82/364,130.73 = 159,628.38/x
  3. Step 3: Cross multiply
    242,753.82x = 364,130.73 × 159,628.38
  4. Step 4: Simplify right side
    242,753.82x = 58,125,598,538.12
  5. Step 5: Solve for x
    x = 58,125,598,538.12/242,753.82
  6. Step 6: Final answer
    x = 239,442.57

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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.