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Finding the Fourth Proportional to 202,666.14, 302,515.11 and 178,725.15

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Solution

The fourth proportional to 202,666.14, 302,515.11 and 178,725.15 is: 266,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,666.14 : 302,515.11 = 178,725.15 : x
  2. Step 2: Convert to fraction form
    202,666.14/302,515.11 = 178,725.15/x
  3. Step 3: Cross multiply
    202,666.14x = 302,515.11 × 178,725.15
  4. Step 4: Simplify right side
    202,666.14x = 54,067,058,412.02
  5. Step 5: Solve for x
    x = 54,067,058,412.02/202,666.14
  6. Step 6: Final answer
    x = 266,778.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.