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Finding the Fourth Proportional to 201,652.16, 278,270.40 and 111,006.24

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Solution

The fourth proportional to 201,652.16, 278,270.40 and 111,006.24 is: 153,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,652.16 : 278,270.40 = 111,006.24 : x
  2. Step 2: Convert to fraction form
    201,652.16/278,270.40 = 111,006.24/x
  3. Step 3: Cross multiply
    201,652.16x = 278,270.40 × 111,006.24
  4. Step 4: Simplify right side
    201,652.16x = 30,889,750,807.30
  5. Step 5: Solve for x
    x = 30,889,750,807.30/201,652.16
  6. Step 6: Final answer
    x = 153,183.34

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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.