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Finding the Fourth Proportional to 102,821.03, 141,892.04 and 57,498.49

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Solution

The fourth proportional to 102,821.03, 141,892.04 and 57,498.49 is: 79,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,821.03 : 141,892.04 = 57,498.49 : x
  2. Step 2: Convert to fraction form
    102,821.03/141,892.04 = 57,498.49/x
  3. Step 3: Cross multiply
    102,821.03x = 141,892.04 × 57,498.49
  4. Step 4: Simplify right side
    102,821.03x = 8,158,578,043.02
  5. Step 5: Solve for x
    x = 8,158,578,043.02/102,821.03
  6. Step 6: Final answer
    x = 79,347.37

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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.