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Finding the Fourth Proportional to 102,101.74, 140,879.75 and 59,652.07

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Solution

The fourth proportional to 102,101.74, 140,879.75 and 59,652.07 is: 82,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,101.74 : 140,879.75 = 59,652.07 : x
  2. Step 2: Convert to fraction form
    102,101.74/140,879.75 = 59,652.07/x
  3. Step 3: Cross multiply
    102,101.74x = 140,879.75 × 59,652.07
  4. Step 4: Simplify right side
    102,101.74x = 8,403,768,708.58
  5. Step 5: Solve for x
    x = 8,403,768,708.58/102,101.74
  6. Step 6: Final answer
    x = 82,307.79

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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.