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Finding the Fourth Proportional to 200,028.80, 299,812.80 and 81,641.60

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Solution

The fourth proportional to 200,028.80, 299,812.80 and 81,641.60 is: 122,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,028.80 : 299,812.80 = 81,641.60 : x
  2. Step 2: Convert to fraction form
    200,028.80/299,812.80 = 81,641.60/x
  3. Step 3: Cross multiply
    200,028.80x = 299,812.80 × 81,641.60
  4. Step 4: Simplify right side
    200,028.80x = 24,477,196,692.48
  5. Step 5: Solve for x
    x = 24,477,196,692.48/200,028.80
  6. Step 6: Final answer
    x = 122,368.36

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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.