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Finding the Fourth Proportional to 148,770, 205,302.60 and 81,706.32

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Solution

The fourth proportional to 148,770, 205,302.60 and 81,706.32 is: 112,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,770 : 205,302.60 = 81,706.32 : x
  2. Step 2: Convert to fraction form
    148,770/205,302.60 = 81,706.32/x
  3. Step 3: Cross multiply
    148,770x = 205,302.60 × 81,706.32
  4. Step 4: Simplify right side
    148,770x = 16,774,519,932.43
  5. Step 5: Solve for x
    x = 16,774,519,932.43/148,770
  6. Step 6: Final answer
    x = 112,754.72

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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.