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Finding the Fourth Proportional to 202,847.40, 302,947.65 and 172,538.61

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Solution

The fourth proportional to 202,847.40, 302,947.65 and 172,538.61 is: 257,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,847.40 : 302,947.65 = 172,538.61 : x
  2. Step 2: Convert to fraction form
    202,847.40/302,947.65 = 172,538.61/x
  3. Step 3: Cross multiply
    202,847.40x = 302,947.65 × 172,538.61
  4. Step 4: Simplify right side
    202,847.40x = 52,270,166,433.77
  5. Step 5: Solve for x
    x = 52,270,166,433.77/202,847.40
  6. Step 6: Final answer
    x = 257,682.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.