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Finding the Fourth Proportional to 202,264.40, 303,615.30 and 113,690.90

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Solution

The fourth proportional to 202,264.40, 303,615.30 and 113,690.90 is: 170,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264.40 : 303,615.30 = 113,690.90 : x
  2. Step 2: Convert to fraction form
    202,264.40/303,615.30 = 113,690.90/x
  3. Step 3: Cross multiply
    202,264.40x = 303,615.30 × 113,690.90
  4. Step 4: Simplify right side
    202,264.40x = 34,518,296,710.77
  5. Step 5: Solve for x
    x = 34,518,296,710.77/202,264.40
  6. Step 6: Final answer
    x = 170,659.28

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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.