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Finding the Fourth Proportional to 202,207.30, 303,310.95 and 127,411.90

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Solution

The fourth proportional to 202,207.30, 303,310.95 and 127,411.90 is: 191,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207.30 : 303,310.95 = 127,411.90 : x
  2. Step 2: Convert to fraction form
    202,207.30/303,310.95 = 127,411.90/x
  3. Step 3: Cross multiply
    202,207.30x = 303,310.95 × 127,411.90
  4. Step 4: Simplify right side
    202,207.30x = 38,645,424,430.31
  5. Step 5: Solve for x
    x = 38,645,424,430.31/202,207.30
  6. Step 6: Final answer
    x = 191,117.85

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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.