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Finding the Fourth Proportional to 105,044.58, 144,964.89 and 57,299.94

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Solution

The fourth proportional to 105,044.58, 144,964.89 and 57,299.94 is: 79,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044.58 : 144,964.89 = 57,299.94 : x
  2. Step 2: Convert to fraction form
    105,044.58/144,964.89 = 57,299.94/x
  3. Step 3: Cross multiply
    105,044.58x = 144,964.89 × 57,299.94
  4. Step 4: Simplify right side
    105,044.58x = 8,306,479,499.11
  5. Step 5: Solve for x
    x = 8,306,479,499.11/105,044.58
  6. Step 6: Final answer
    x = 79,075.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.