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Finding the Fourth Proportional to 147,068.42, 202,990.48 and 83,443.46

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Solution

The fourth proportional to 147,068.42, 202,990.48 and 83,443.46 is: 115,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,068.42 : 202,990.48 = 83,443.46 : x
  2. Step 2: Convert to fraction form
    147,068.42/202,990.48 = 83,443.46/x
  3. Step 3: Cross multiply
    147,068.42x = 202,990.48 × 83,443.46
  4. Step 4: Simplify right side
    147,068.42x = 16,938,227,998.26
  5. Step 5: Solve for x
    x = 16,938,227,998.26/147,068.42
  6. Step 6: Final answer
    x = 115,172.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.