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Finding the Fourth Proportional to 202,242.60, 303,947.10 and 176,581.80

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Solution

The fourth proportional to 202,242.60, 303,947.10 and 176,581.80 is: 265,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,242.60 : 303,947.10 = 176,581.80 : x
  2. Step 2: Convert to fraction form
    202,242.60/303,947.10 = 176,581.80/x
  3. Step 3: Cross multiply
    202,242.60x = 303,947.10 × 176,581.80
  4. Step 4: Simplify right side
    202,242.60x = 53,671,526,022.78
  5. Step 5: Solve for x
    x = 53,671,526,022.78/202,242.60
  6. Step 6: Final answer
    x = 265,381.90

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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.