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Finding the Fourth Proportional to 202,397.32, 303,189.90 and 185,862.52

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Solution

The fourth proportional to 202,397.32, 303,189.90 and 185,862.52 is: 278,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,397.32 : 303,189.90 = 185,862.52 : x
  2. Step 2: Convert to fraction form
    202,397.32/303,189.90 = 185,862.52/x
  3. Step 3: Cross multiply
    202,397.32x = 303,189.90 × 185,862.52
  4. Step 4: Simplify right side
    202,397.32x = 56,351,638,852.55
  5. Step 5: Solve for x
    x = 56,351,638,852.55/202,397.32
  6. Step 6: Final answer
    x = 278,420.87

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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.