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Finding the Fourth Proportional to 202,132.40, 303,417.30 and 113,558.90

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Solution

The fourth proportional to 202,132.40, 303,417.30 and 113,558.90 is: 170,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,132.40 : 303,417.30 = 113,558.90 : x
  2. Step 2: Convert to fraction form
    202,132.40/303,417.30 = 113,558.90/x
  3. Step 3: Cross multiply
    202,132.40x = 303,417.30 × 113,558.90
  4. Step 4: Simplify right side
    202,132.40x = 34,455,734,828.97
  5. Step 5: Solve for x
    x = 34,455,734,828.97/202,132.40
  6. Step 6: Final answer
    x = 170,461.22

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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.