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Finding the Fourth Proportional to 202,816.20, 304,742.70 and 180,006.60

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Solution

The fourth proportional to 202,816.20, 304,742.70 and 180,006.60 is: 270,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.20 : 304,742.70 = 180,006.60 : x
  2. Step 2: Convert to fraction form
    202,816.20/304,742.70 = 180,006.60/x
  3. Step 3: Cross multiply
    202,816.20x = 304,742.70 × 180,006.60
  4. Step 4: Simplify right side
    202,816.20x = 54,855,697,301.82
  5. Step 5: Solve for x
    x = 54,855,697,301.82/202,816.20
  6. Step 6: Final answer
    x = 270,470.00

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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.