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Finding the Fourth Proportional to 120,861.84, 181,277.88 and 61,740.24

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Solution

The fourth proportional to 120,861.84, 181,277.88 and 61,740.24 is: 92,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,861.84 : 181,277.88 = 61,740.24 : x
  2. Step 2: Convert to fraction form
    120,861.84/181,277.88 = 61,740.24/x
  3. Step 3: Cross multiply
    120,861.84x = 181,277.88 × 61,740.24
  4. Step 4: Simplify right side
    120,861.84x = 11,192,139,817.89
  5. Step 5: Solve for x
    x = 11,192,139,817.89/120,861.84
  6. Step 6: Final answer
    x = 92,602.76

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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.