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Finding the Fourth Proportional to 133,051.69, 199,679.06 and 48,891.61

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Solution

The fourth proportional to 133,051.69, 199,679.06 and 48,891.61 is: 73,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.69 : 199,679.06 = 48,891.61 : x
  2. Step 2: Convert to fraction form
    133,051.69/199,679.06 = 48,891.61/x
  3. Step 3: Cross multiply
    133,051.69x = 199,679.06 × 48,891.61
  4. Step 4: Simplify right side
    133,051.69x = 9,762,630,482.23
  5. Step 5: Solve for x
    x = 9,762,630,482.23/133,051.69
  6. Step 6: Final answer
    x = 73,374.72

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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.