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Finding the Fourth Proportional to 142,381.98, 196,430.60 and 81,920.07

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Solution

The fourth proportional to 142,381.98, 196,430.60 and 81,920.07 is: 113,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,381.98 : 196,430.60 = 81,920.07 : x
  2. Step 2: Convert to fraction form
    142,381.98/196,430.60 = 81,920.07/x
  3. Step 3: Cross multiply
    142,381.98x = 196,430.60 × 81,920.07
  4. Step 4: Simplify right side
    142,381.98x = 16,091,608,706.94
  5. Step 5: Solve for x
    x = 16,091,608,706.94/142,381.98
  6. Step 6: Final answer
    x = 113,017.17

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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.