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Finding the Fourth Proportional to 357,072.91, 535,868.26 and 132,465.38

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Solution

The fourth proportional to 357,072.91, 535,868.26 and 132,465.38 is: 198,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,072.91 : 535,868.26 = 132,465.38 : x
  2. Step 2: Convert to fraction form
    357,072.91/535,868.26 = 132,465.38/x
  3. Step 3: Cross multiply
    357,072.91x = 535,868.26 × 132,465.38
  4. Step 4: Simplify right side
    357,072.91x = 70,983,989,680.33
  5. Step 5: Solve for x
    x = 70,983,989,680.33/357,072.91
  6. Step 6: Final answer
    x = 198,794.11

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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.