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Finding the Fourth Proportional to 102,072.54, 140,857.02 and 56,751.52

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Solution

The fourth proportional to 102,072.54, 140,857.02 and 56,751.52 is: 78,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,072.54 : 140,857.02 = 56,751.52 : x
  2. Step 2: Convert to fraction form
    102,072.54/140,857.02 = 56,751.52/x
  3. Step 3: Cross multiply
    102,072.54x = 140,857.02 × 56,751.52
  4. Step 4: Simplify right side
    102,072.54x = 7,993,849,987.67
  5. Step 5: Solve for x
    x = 7,993,849,987.67/102,072.54
  6. Step 6: Final answer
    x = 78,315.38

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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.