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Finding the Fourth Proportional to 147,830.84, 221,912.11 and 59,146.17

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Solution

The fourth proportional to 147,830.84, 221,912.11 and 59,146.17 is: 88,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,830.84 : 221,912.11 = 59,146.17 : x
  2. Step 2: Convert to fraction form
    147,830.84/221,912.11 = 59,146.17/x
  3. Step 3: Cross multiply
    147,830.84x = 221,912.11 × 59,146.17
  4. Step 4: Simplify right side
    147,830.84x = 13,125,251,383.12
  5. Step 5: Solve for x
    x = 13,125,251,383.12/147,830.84
  6. Step 6: Final answer
    x = 88,785.61

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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.