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Finding the Fourth Proportional to 202,176.60, 303,119.10 and 113,457.30

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Solution

The fourth proportional to 202,176.60, 303,119.10 and 113,457.30 is: 170,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176.60 : 303,119.10 = 113,457.30 : x
  2. Step 2: Convert to fraction form
    202,176.60/303,119.10 = 113,457.30/x
  3. Step 3: Cross multiply
    202,176.60x = 303,119.10 × 113,457.30
  4. Step 4: Simplify right side
    202,176.60x = 34,391,074,664.43
  5. Step 5: Solve for x
    x = 34,391,074,664.43/202,176.60
  6. Step 6: Final answer
    x = 170,104.13

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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.