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Finding the Fourth Proportional to 105,810.84, 146,013.14 and 58,060.42

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Solution

The fourth proportional to 105,810.84, 146,013.14 and 58,060.42 is: 80,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,810.84 : 146,013.14 = 58,060.42 : x
  2. Step 2: Convert to fraction form
    105,810.84/146,013.14 = 58,060.42/x
  3. Step 3: Cross multiply
    105,810.84x = 146,013.14 × 58,060.42
  4. Step 4: Simplify right side
    105,810.84x = 8,477,584,014.04
  5. Step 5: Solve for x
    x = 8,477,584,014.04/105,810.84
  6. Step 6: Final answer
    x = 80,120.18

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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.