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Finding the Fourth Proportional to 202,223.40, 303,335.10 and 178,895.40

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Solution

The fourth proportional to 202,223.40, 303,335.10 and 178,895.40 is: 268,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,223.40 : 303,335.10 = 178,895.40 : x
  2. Step 2: Convert to fraction form
    202,223.40/303,335.10 = 178,895.40/x
  3. Step 3: Cross multiply
    202,223.40x = 303,335.10 × 178,895.40
  4. Step 4: Simplify right side
    202,223.40x = 54,265,254,048.54
  5. Step 5: Solve for x
    x = 54,265,254,048.54/202,223.40
  6. Step 6: Final answer
    x = 268,343.10

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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.