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Finding the Fourth Proportional to 243,262.94, 364,978.65 and 101,184.89

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Solution

The fourth proportional to 243,262.94, 364,978.65 and 101,184.89 is: 151,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,262.94 : 364,978.65 = 101,184.89 : x
  2. Step 2: Convert to fraction form
    243,262.94/364,978.65 = 101,184.89/x
  3. Step 3: Cross multiply
    243,262.94x = 364,978.65 × 101,184.89
  4. Step 4: Simplify right side
    243,262.94x = 36,930,325,844.49
  5. Step 5: Solve for x
    x = 36,930,325,844.49/243,262.94
  6. Step 6: Final answer
    x = 151,812.38

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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.