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Finding the Fourth Proportional to 105,886.36, 146,124.84 and 58,144

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Solution

The fourth proportional to 105,886.36, 146,124.84 and 58,144 is: 80,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,886.36 : 146,124.84 = 58,144 : x
  2. Step 2: Convert to fraction form
    105,886.36/146,124.84 = 58,144/x
  3. Step 3: Cross multiply
    105,886.36x = 146,124.84 × 58,144
  4. Step 4: Simplify right side
    105,886.36x = 8,496,282,696.96
  5. Step 5: Solve for x
    x = 8,496,282,696.96/105,886.36
  6. Step 6: Final answer
    x = 80,239.63

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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.