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Finding the Fourth Proportional to 354,855.52, 532,127.76 and 133,084

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Solution

The fourth proportional to 354,855.52, 532,127.76 and 133,084 is: 199,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,855.52 : 532,127.76 = 133,084 : x
  2. Step 2: Convert to fraction form
    354,855.52/532,127.76 = 133,084/x
  3. Step 3: Cross multiply
    354,855.52x = 532,127.76 × 133,084
  4. Step 4: Simplify right side
    354,855.52x = 70,817,690,811.84
  5. Step 5: Solve for x
    x = 70,817,690,811.84/354,855.52
  6. Step 6: Final answer
    x = 199,567.67

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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.