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Finding the Fourth Proportional to 133,594, 200,404.28 and 49,376.24

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Solution

The fourth proportional to 133,594, 200,404.28 and 49,376.24 is: 74,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,594 : 200,404.28 = 49,376.24 : x
  2. Step 2: Convert to fraction form
    133,594/200,404.28 = 49,376.24/x
  3. Step 3: Cross multiply
    133,594x = 200,404.28 × 49,376.24
  4. Step 4: Simplify right side
    133,594x = 9,895,209,826.31
  5. Step 5: Solve for x
    x = 9,895,209,826.31/133,594
  6. Step 6: Final answer
    x = 74,069.27

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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.