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Finding the Fourth Proportional to 117,855.95, 176,767.32 and 61,677.59

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Solution

The fourth proportional to 117,855.95, 176,767.32 and 61,677.59 is: 92,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,855.95 : 176,767.32 = 61,677.59 : x
  2. Step 2: Convert to fraction form
    117,855.95/176,767.32 = 61,677.59/x
  3. Step 3: Cross multiply
    117,855.95x = 176,767.32 × 61,677.59
  4. Step 4: Simplify right side
    117,855.95x = 10,902,582,288.36
  5. Step 5: Solve for x
    x = 10,902,582,288.36/117,855.95
  6. Step 6: Final answer
    x = 92,507.70

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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.