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Finding the Fourth Proportional to 277,776.19, 416,688.89 and 78,098.31

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Solution

The fourth proportional to 277,776.19, 416,688.89 and 78,098.31 is: 117,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,776.19 : 416,688.89 = 78,098.31 : x
  2. Step 2: Convert to fraction form
    277,776.19/416,688.89 = 78,098.31/x
  3. Step 3: Cross multiply
    277,776.19x = 416,688.89 × 78,098.31
  4. Step 4: Simplify right side
    277,776.19x = 32,542,698,104.78
  5. Step 5: Solve for x
    x = 32,542,698,104.78/277,776.19
  6. Step 6: Final answer
    x = 117,154.38

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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.