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Finding the Fourth Proportional to 200,076.16, 276,101.76 and 110,652.16

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Solution

The fourth proportional to 200,076.16, 276,101.76 and 110,652.16 is: 152,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076.16 : 276,101.76 = 110,652.16 : x
  2. Step 2: Convert to fraction form
    200,076.16/276,101.76 = 110,652.16/x
  3. Step 3: Cross multiply
    200,076.16x = 276,101.76 × 110,652.16
  4. Step 4: Simplify right side
    200,076.16x = 30,551,256,123.80
  5. Step 5: Solve for x
    x = 30,551,256,123.80/200,076.16
  6. Step 6: Final answer
    x = 152,698.13

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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.