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Finding the Fourth Proportional to 201,670.11, 278,302.57 and 111,024.11

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Solution

The fourth proportional to 201,670.11, 278,302.57 and 111,024.11 is: 153,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,670.11 : 278,302.57 = 111,024.11 : x
  2. Step 2: Convert to fraction form
    201,670.11/278,302.57 = 111,024.11/x
  3. Step 3: Cross multiply
    201,670.11x = 278,302.57 × 111,024.11
  4. Step 4: Simplify right side
    201,670.11x = 30,898,295,563.16
  5. Step 5: Solve for x
    x = 30,898,295,563.16/201,670.11
  6. Step 6: Final answer
    x = 153,212.07

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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.