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Finding the Fourth Proportional to 202,298.40, 303,188.40 and 180,007.20

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Solution

The fourth proportional to 202,298.40, 303,188.40 and 180,007.20 is: 269,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.40 : 303,188.40 = 180,007.20 : x
  2. Step 2: Convert to fraction form
    202,298.40/303,188.40 = 180,007.20/x
  3. Step 3: Cross multiply
    202,298.40x = 303,188.40 × 180,007.20
  4. Step 4: Simplify right side
    202,298.40x = 54,576,094,956.48
  5. Step 5: Solve for x
    x = 54,576,094,956.48/202,298.40
  6. Step 6: Final answer
    x = 269,780.16

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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.