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Finding the Fourth Proportional to 145,882.24, 218,852.85 and 61,642.65

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Solution

The fourth proportional to 145,882.24, 218,852.85 and 61,642.65 is: 92,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,882.24 : 218,852.85 = 61,642.65 : x
  2. Step 2: Convert to fraction form
    145,882.24/218,852.85 = 61,642.65/x
  3. Step 3: Cross multiply
    145,882.24x = 218,852.85 × 61,642.65
  4. Step 4: Simplify right side
    145,882.24x = 13,490,669,634.05
  5. Step 5: Solve for x
    x = 13,490,669,634.05/145,882.24
  6. Step 6: Final answer
    x = 92,476.44

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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.