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Finding the Fourth Proportional to 82,330.83, 113,558.15 and 69,700.91

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Solution

The fourth proportional to 82,330.83, 113,558.15 and 69,700.91 is: 96,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,330.83 : 113,558.15 = 69,700.91 : x
  2. Step 2: Convert to fraction form
    82,330.83/113,558.15 = 69,700.91/x
  3. Step 3: Cross multiply
    82,330.83x = 113,558.15 × 69,700.91
  4. Step 4: Simplify right side
    82,330.83x = 7,915,105,999.38
  5. Step 5: Solve for x
    x = 7,915,105,999.38/82,330.83
  6. Step 6: Final answer
    x = 96,137.81

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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.