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Finding the Fourth Proportional to 192,973.92, 289,468.98 and 52,732.14

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Solution

The fourth proportional to 192,973.92, 289,468.98 and 52,732.14 is: 79,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,973.92 : 289,468.98 = 52,732.14 : x
  2. Step 2: Convert to fraction form
    192,973.92/289,468.98 = 52,732.14/x
  3. Step 3: Cross multiply
    192,973.92x = 289,468.98 × 52,732.14
  4. Step 4: Simplify right side
    192,973.92x = 15,264,318,779.02
  5. Step 5: Solve for x
    x = 15,264,318,779.02/192,973.92
  6. Step 6: Final answer
    x = 79,100.42

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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.