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Finding the Fourth Proportional to 159,829, 239,755.02 and 61,333

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Solution

The fourth proportional to 159,829, 239,755.02 and 61,333 is: 92,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,829 : 239,755.02 = 61,333 : x
  2. Step 2: Convert to fraction form
    159,829/239,755.02 = 61,333/x
  3. Step 3: Cross multiply
    159,829x = 239,755.02 × 61,333
  4. Step 4: Simplify right side
    159,829x = 14,704,894,641.66
  5. Step 5: Solve for x
    x = 14,704,894,641.66/159,829
  6. Step 6: Final answer
    x = 92,003.92

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Why These Related Problems?

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