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Finding the Fourth Proportional to 192,705.92, 289,076.16 and 52,465.28

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Solution

The fourth proportional to 192,705.92, 289,076.16 and 52,465.28 is: 78,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,705.92 : 289,076.16 = 52,465.28 : x
  2. Step 2: Convert to fraction form
    192,705.92/289,076.16 = 52,465.28/x
  3. Step 3: Cross multiply
    192,705.92x = 289,076.16 × 52,465.28
  4. Step 4: Simplify right side
    192,705.92x = 15,166,461,675.72
  5. Step 5: Solve for x
    x = 15,166,461,675.72/192,705.92
  6. Step 6: Final answer
    x = 78,702.62

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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.