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Finding the Fourth Proportional to 133,501.76, 200,331.41 and 49,321.50

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Solution

The fourth proportional to 133,501.76, 200,331.41 and 49,321.50 is: 74,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,501.76 : 200,331.41 = 49,321.50 : x
  2. Step 2: Convert to fraction form
    133,501.76/200,331.41 = 49,321.50/x
  3. Step 3: Cross multiply
    133,501.76x = 200,331.41 × 49,321.50
  4. Step 4: Simplify right side
    133,501.76x = 9,880,645,638.32
  5. Step 5: Solve for x
    x = 9,880,645,638.32/133,501.76
  6. Step 6: Final answer
    x = 74,011.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.