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Finding the Fourth Proportional to 202,028.64, 302,977.02 and 67,056.48

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Solution

The fourth proportional to 202,028.64, 302,977.02 and 67,056.48 is: 100,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,028.64 : 302,977.02 = 67,056.48 : x
  2. Step 2: Convert to fraction form
    202,028.64/302,977.02 = 67,056.48/x
  3. Step 3: Cross multiply
    202,028.64x = 302,977.02 × 67,056.48
  4. Step 4: Simplify right side
    202,028.64x = 20,316,572,482.09
  5. Step 5: Solve for x
    x = 20,316,572,482.09/202,028.64
  6. Step 6: Final answer
    x = 100,562.83

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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.