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Finding the Fourth Proportional to 201,412.98, 277,943.56 and 110,768.67

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Solution

The fourth proportional to 201,412.98, 277,943.56 and 110,768.67 is: 152,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,412.98 : 277,943.56 = 110,768.67 : x
  2. Step 2: Convert to fraction form
    201,412.98/277,943.56 = 110,768.67/x
  3. Step 3: Cross multiply
    201,412.98x = 277,943.56 × 110,768.67
  4. Step 4: Simplify right side
    201,412.98x = 30,787,438,199.34
  5. Step 5: Solve for x
    x = 30,787,438,199.34/201,412.98
  6. Step 6: Final answer
    x = 152,857.27

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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.