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Finding the Fourth Proportional to 132,043.80, 197,892.90 and 53,093.40

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Solution

The fourth proportional to 132,043.80, 197,892.90 and 53,093.40 is: 79,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,043.80 : 197,892.90 = 53,093.40 : x
  2. Step 2: Convert to fraction form
    132,043.80/197,892.90 = 53,093.40/x
  3. Step 3: Cross multiply
    132,043.80x = 197,892.90 × 53,093.40
  4. Step 4: Simplify right side
    132,043.80x = 10,506,806,896.86
  5. Step 5: Solve for x
    x = 10,506,806,896.86/132,043.80
  6. Step 6: Final answer
    x = 79,570.62

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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.