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Finding the Fourth Proportional to 180,011.10, 270,013.32 and 53,737.02

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Solution

The fourth proportional to 180,011.10, 270,013.32 and 53,737.02 is: 80,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,011.10 : 270,013.32 = 53,737.02 : x
  2. Step 2: Convert to fraction form
    180,011.10/270,013.32 = 53,737.02/x
  3. Step 3: Cross multiply
    180,011.10x = 270,013.32 × 53,737.02
  4. Step 4: Simplify right side
    180,011.10x = 14,509,711,177.11
  5. Step 5: Solve for x
    x = 14,509,711,177.11/180,011.10
  6. Step 6: Final answer
    x = 80,604.54

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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.