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Finding the Fourth Proportional to 192,715.92, 289,101.66 and 59,607.84

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Solution

The fourth proportional to 192,715.92, 289,101.66 and 59,607.84 is: 89,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,715.92 : 289,101.66 = 59,607.84 : x
  2. Step 2: Convert to fraction form
    192,715.92/289,101.66 = 59,607.84/x
  3. Step 3: Cross multiply
    192,715.92x = 289,101.66 × 59,607.84
  4. Step 4: Simplify right side
    192,715.92x = 17,232,725,493.01
  5. Step 5: Solve for x
    x = 17,232,725,493.01/192,715.92
  6. Step 6: Final answer
    x = 89,420.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.