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Finding the Fourth Proportional to 105,957.08, 146,223.48 and 58,211.64

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Solution

The fourth proportional to 105,957.08, 146,223.48 and 58,211.64 is: 80,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,957.08 : 146,223.48 = 58,211.64 : x
  2. Step 2: Convert to fraction form
    105,957.08/146,223.48 = 58,211.64/x
  3. Step 3: Cross multiply
    105,957.08x = 146,223.48 × 58,211.64
  4. Step 4: Simplify right side
    105,957.08x = 8,511,908,577.31
  5. Step 5: Solve for x
    x = 8,511,908,577.31/105,957.08
  6. Step 6: Final answer
    x = 80,333.55

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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.