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Finding the Fourth Proportional to 106,029.96, 146,323.17 and 58,285.32

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Solution

The fourth proportional to 106,029.96, 146,323.17 and 58,285.32 is: 80,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029.96 : 146,323.17 = 58,285.32 : x
  2. Step 2: Convert to fraction form
    106,029.96/146,323.17 = 58,285.32/x
  3. Step 3: Cross multiply
    106,029.96x = 146,323.17 × 58,285.32
  4. Step 4: Simplify right side
    106,029.96x = 8,528,492,786.86
  5. Step 5: Solve for x
    x = 8,528,492,786.86/106,029.96
  6. Step 6: Final answer
    x = 80,434.74

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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.