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Finding the Fourth Proportional to 132,078.36, 198,124.02 and 53,181.93

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Solution

The fourth proportional to 132,078.36, 198,124.02 and 53,181.93 is: 79,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,078.36 : 198,124.02 = 53,181.93 : x
  2. Step 2: Convert to fraction form
    132,078.36/198,124.02 = 53,181.93/x
  3. Step 3: Cross multiply
    132,078.36x = 198,124.02 × 53,181.93
  4. Step 4: Simplify right side
    132,078.36x = 10,536,617,762.96
  5. Step 5: Solve for x
    x = 10,536,617,762.96/132,078.36
  6. Step 6: Final answer
    x = 79,775.50

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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.