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Finding the Fourth Proportional to 102,560, 141,537.66 and 57,848

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Solution

The fourth proportional to 102,560, 141,537.66 and 57,848 is: 79,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,560 : 141,537.66 = 57,848 : x
  2. Step 2: Convert to fraction form
    102,560/141,537.66 = 57,848/x
  3. Step 3: Cross multiply
    102,560x = 141,537.66 × 57,848
  4. Step 4: Simplify right side
    102,560x = 8,187,670,555.68
  5. Step 5: Solve for x
    x = 8,187,670,555.68/102,560
  6. Step 6: Final answer
    x = 79,832.98

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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.