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Finding the Fourth Proportional to 266,165.85, 398,916.51 and 133,084.17

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Solution

The fourth proportional to 266,165.85, 398,916.51 and 133,084.17 is: 199,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,165.85 : 398,916.51 = 133,084.17 : x
  2. Step 2: Convert to fraction form
    266,165.85/398,916.51 = 133,084.17/x
  3. Step 3: Cross multiply
    266,165.85x = 398,916.51 × 133,084.17
  4. Step 4: Simplify right side
    266,165.85x = 53,089,470,638.06
  5. Step 5: Solve for x
    x = 53,089,470,638.06/266,165.85
  6. Step 6: Final answer
    x = 199,460.11

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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.