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Finding the Fourth Proportional to 120,805.84, 181,126.08 and 61,526.80

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Solution

The fourth proportional to 120,805.84, 181,126.08 and 61,526.80 is: 92,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.84 : 181,126.08 = 61,526.80 : x
  2. Step 2: Convert to fraction form
    120,805.84/181,126.08 = 61,526.80/x
  3. Step 3: Cross multiply
    120,805.84x = 181,126.08 × 61,526.80
  4. Step 4: Simplify right side
    120,805.84x = 11,144,108,098.94
  5. Step 5: Solve for x
    x = 11,144,108,098.94/120,805.84
  6. Step 6: Final answer
    x = 92,248.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.