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Finding the Fourth Proportional to 277,580.81, 416,190.78 and 109,117.62

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Solution

The fourth proportional to 277,580.81, 416,190.78 and 109,117.62 is: 163,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,580.81 : 416,190.78 = 109,117.62 : x
  2. Step 2: Convert to fraction form
    277,580.81/416,190.78 = 109,117.62/x
  3. Step 3: Cross multiply
    277,580.81x = 416,190.78 × 109,117.62
  4. Step 4: Simplify right side
    277,580.81x = 45,413,747,379.54
  5. Step 5: Solve for x
    x = 45,413,747,379.54/277,580.81
  6. Step 6: Final answer
    x = 163,605.50

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1.5x scale

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.