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Finding the Fourth Proportional to 109,717.50, 151,410.15 and 59,416.50

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Solution

The fourth proportional to 109,717.50, 151,410.15 and 59,416.50 is: 81,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717.50 : 151,410.15 = 59,416.50 : x
  2. Step 2: Convert to fraction form
    109,717.50/151,410.15 = 59,416.50/x
  3. Step 3: Cross multiply
    109,717.50x = 151,410.15 × 59,416.50
  4. Step 4: Simplify right side
    109,717.50x = 8,996,261,177.48
  5. Step 5: Solve for x
    x = 8,996,261,177.48/109,717.50
  6. Step 6: Final answer
    x = 81,994.77

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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.