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Finding the Fourth Proportional to 105,955.17, 146,218.20 and 58,211.60

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Solution

The fourth proportional to 105,955.17, 146,218.20 and 58,211.60 is: 80,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955.17 : 146,218.20 = 58,211.60 : x
  2. Step 2: Convert to fraction form
    105,955.17/146,218.20 = 58,211.60/x
  3. Step 3: Cross multiply
    105,955.17x = 146,218.20 × 58,211.60
  4. Step 4: Simplify right side
    105,955.17x = 8,511,594,421.74
  5. Step 5: Solve for x
    x = 8,511,594,421.74/105,955.17
  6. Step 6: Final answer
    x = 80,332.03

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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.