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Finding the Fourth Proportional to 200,085.84, 300,144.48 and 66,966.56

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Solution

The fourth proportional to 200,085.84, 300,144.48 and 66,966.56 is: 100,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,085.84 : 300,144.48 = 66,966.56 : x
  2. Step 2: Convert to fraction form
    200,085.84/300,144.48 = 66,966.56/x
  3. Step 3: Cross multiply
    200,085.84x = 300,144.48 × 66,966.56
  4. Step 4: Simplify right side
    200,085.84x = 20,099,643,328.59
  5. Step 5: Solve for x
    x = 20,099,643,328.59/200,085.84
  6. Step 6: Final answer
    x = 100,455.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.