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Finding the Fourth Proportional to 201,752.46, 278,420.49 and 111,110.22

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Solution

The fourth proportional to 201,752.46, 278,420.49 and 111,110.22 is: 153,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,752.46 : 278,420.49 = 111,110.22 : x
  2. Step 2: Convert to fraction form
    201,752.46/278,420.49 = 111,110.22/x
  3. Step 3: Cross multiply
    201,752.46x = 278,420.49 × 111,110.22
  4. Step 4: Simplify right side
    201,752.46x = 30,935,361,896.41
  5. Step 5: Solve for x
    x = 30,935,361,896.41/201,752.46
  6. Step 6: Final answer
    x = 153,333.26

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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.