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Finding the Fourth Proportional to 105,828.46, 146,038.59 and 58,081.90

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Solution

The fourth proportional to 105,828.46, 146,038.59 and 58,081.90 is: 80,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,828.46 : 146,038.59 = 58,081.90 : x
  2. Step 2: Convert to fraction form
    105,828.46/146,038.59 = 58,081.90/x
  3. Step 3: Cross multiply
    105,828.46x = 146,038.59 × 58,081.90
  4. Step 4: Simplify right side
    105,828.46x = 8,482,198,780.52
  5. Step 5: Solve for x
    x = 8,482,198,780.52/105,828.46
  6. Step 6: Final answer
    x = 80,150.45

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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.