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Finding the Fourth Proportional to 102,350, 141,243.91 and 59,909.44

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Solution

The fourth proportional to 102,350, 141,243.91 and 59,909.44 is: 82,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,350 : 141,243.91 = 59,909.44 : x
  2. Step 2: Convert to fraction form
    102,350/141,243.91 = 59,909.44/x
  3. Step 3: Cross multiply
    102,350x = 141,243.91 × 59,909.44
  4. Step 4: Simplify right side
    102,350x = 8,461,843,551.51
  5. Step 5: Solve for x
    x = 8,461,843,551.51/102,350
  6. Step 6: Final answer
    x = 82,675.56

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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.