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Finding the Fourth Proportional to 202,293.30, 303,454.56 and 77,634.30

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Solution

The fourth proportional to 202,293.30, 303,454.56 and 77,634.30 is: 116,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,293.30 : 303,454.56 = 77,634.30 : x
  2. Step 2: Convert to fraction form
    202,293.30/303,454.56 = 77,634.30/x
  3. Step 3: Cross multiply
    202,293.30x = 303,454.56 × 77,634.30
  4. Step 4: Simplify right side
    202,293.30x = 23,558,482,347.41
  5. Step 5: Solve for x
    x = 23,558,482,347.41/202,293.30
  6. Step 6: Final answer
    x = 116,457.06

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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.