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Finding the Fourth Proportional to 202,816.70, 304,743.45 and 180,007.10

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Solution

The fourth proportional to 202,816.70, 304,743.45 and 180,007.10 is: 270,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.70 : 304,743.45 = 180,007.10 : x
  2. Step 2: Convert to fraction form
    202,816.70/304,743.45 = 180,007.10/x
  3. Step 3: Cross multiply
    202,816.70x = 304,743.45 × 180,007.10
  4. Step 4: Simplify right side
    202,816.70x = 54,855,984,678.50
  5. Step 5: Solve for x
    x = 54,855,984,678.50/202,816.70
  6. Step 6: Final answer
    x = 270,470.75

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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.