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Finding the Fourth Proportional to 202,463.64, 303,696.54 and 132,784.20

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Solution

The fourth proportional to 202,463.64, 303,696.54 and 132,784.20 is: 199,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,463.64 : 303,696.54 = 132,784.20 : x
  2. Step 2: Convert to fraction form
    202,463.64/303,696.54 = 132,784.20/x
  3. Step 3: Cross multiply
    202,463.64x = 303,696.54 × 132,784.20
  4. Step 4: Simplify right side
    202,463.64x = 40,326,102,106.67
  5. Step 5: Solve for x
    x = 40,326,102,106.67/202,463.64
  6. Step 6: Final answer
    x = 199,177.01

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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.