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Finding the Fourth Proportional to 105,888.58, 146,128.61 and 58,142.13

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Solution

The fourth proportional to 105,888.58, 146,128.61 and 58,142.13 is: 80,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,888.58 : 146,128.61 = 58,142.13 : x
  2. Step 2: Convert to fraction form
    105,888.58/146,128.61 = 58,142.13/x
  3. Step 3: Cross multiply
    105,888.58x = 146,128.61 × 58,142.13
  4. Step 4: Simplify right side
    105,888.58x = 8,496,228,639.34
  5. Step 5: Solve for x
    x = 8,496,228,639.34/105,888.58
  6. Step 6: Final answer
    x = 80,237.44

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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.