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Finding the Fourth Proportional to 277,522.40, 416,285.64 and 67,160.34

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Solution

The fourth proportional to 277,522.40, 416,285.64 and 67,160.34 is: 100,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,522.40 : 416,285.64 = 67,160.34 : x
  2. Step 2: Convert to fraction form
    277,522.40/416,285.64 = 67,160.34/x
  3. Step 3: Cross multiply
    277,522.40x = 416,285.64 × 67,160.34
  4. Step 4: Simplify right side
    277,522.40x = 27,957,885,119.52
  5. Step 5: Solve for x
    x = 27,957,885,119.52/277,522.40
  6. Step 6: Final answer
    x = 100,741.00

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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.