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Finding the Fourth Proportional to 201,807.70, 302,711.55 and 180,034.90

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Solution

The fourth proportional to 201,807.70, 302,711.55 and 180,034.90 is: 270,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,807.70 : 302,711.55 = 180,034.90 : x
  2. Step 2: Convert to fraction form
    201,807.70/302,711.55 = 180,034.90/x
  3. Step 3: Cross multiply
    201,807.70x = 302,711.55 × 180,034.90
  4. Step 4: Simplify right side
    201,807.70x = 54,498,643,633.10
  5. Step 5: Solve for x
    x = 54,498,643,633.10/201,807.70
  6. Step 6: Final answer
    x = 270,052.35

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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.