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Finding the Fourth Proportional to 202,893.57, 304,142.55 and 84,598.74

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Solution

The fourth proportional to 202,893.57, 304,142.55 and 84,598.74 is: 126,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,893.57 : 304,142.55 = 84,598.74 : x
  2. Step 2: Convert to fraction form
    202,893.57/304,142.55 = 84,598.74/x
  3. Step 3: Cross multiply
    202,893.57x = 304,142.55 × 84,598.74
  4. Step 4: Simplify right side
    202,893.57x = 25,730,076,510.39
  5. Step 5: Solve for x
    x = 25,730,076,510.39/202,893.57
  6. Step 6: Final answer
    x = 126,815.63

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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.