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Finding the Fourth Proportional to 102,101.50, 140,879.40 and 59,651.82

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Solution

The fourth proportional to 102,101.50, 140,879.40 and 59,651.82 is: 82,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,101.50 : 140,879.40 = 59,651.82 : x
  2. Step 2: Convert to fraction form
    102,101.50/140,879.40 = 59,651.82/x
  3. Step 3: Cross multiply
    102,101.50x = 140,879.40 × 59,651.82
  4. Step 4: Simplify right side
    102,101.50x = 8,403,712,610.51
  5. Step 5: Solve for x
    x = 8,403,712,610.51/102,101.50
  6. Step 6: Final answer
    x = 82,307.44

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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.