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Finding the Fourth Proportional to 201,285.96, 277,780.91 and 110,648.90

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Solution

The fourth proportional to 201,285.96, 277,780.91 and 110,648.90 is: 152,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285.96 : 277,780.91 = 110,648.90 : x
  2. Step 2: Convert to fraction form
    201,285.96/277,780.91 = 110,648.90/x
  3. Step 3: Cross multiply
    201,285.96x = 277,780.91 × 110,648.90
  4. Step 4: Simplify right side
    201,285.96x = 30,736,150,190.35
  5. Step 5: Solve for x
    x = 30,736,150,190.35/201,285.96
  6. Step 6: Final answer
    x = 152,698.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.