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Finding the Fourth Proportional to 202,263.40, 302,703.90 and 177,380.20

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Solution

The fourth proportional to 202,263.40, 302,703.90 and 177,380.20 is: 265,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,263.40 : 302,703.90 = 177,380.20 : x
  2. Step 2: Convert to fraction form
    202,263.40/302,703.90 = 177,380.20/x
  3. Step 3: Cross multiply
    202,263.40x = 302,703.90 × 177,380.20
  4. Step 4: Simplify right side
    202,263.40x = 53,693,678,322.78
  5. Step 5: Solve for x
    x = 53,693,678,322.78/202,263.40
  6. Step 6: Final answer
    x = 265,464.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.