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Finding the Fourth Proportional to 117,856.96, 176,768.82 and 61,678.60

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Solution

The fourth proportional to 117,856.96, 176,768.82 and 61,678.60 is: 92,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,856.96 : 176,768.82 = 61,678.60 : x
  2. Step 2: Convert to fraction form
    117,856.96/176,768.82 = 61,678.60/x
  3. Step 3: Cross multiply
    117,856.96x = 176,768.82 × 61,678.60
  4. Step 4: Simplify right side
    117,856.96x = 10,902,853,341.25
  5. Step 5: Solve for x
    x = 10,902,853,341.25/117,856.96
  6. Step 6: Final answer
    x = 92,509.20

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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.