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Finding the Fourth Proportional to 106,076.72, 146,386.32 and 58,328.96

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Solution

The fourth proportional to 106,076.72, 146,386.32 and 58,328.96 is: 80,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,076.72 : 146,386.32 = 58,328.96 : x
  2. Step 2: Convert to fraction form
    106,076.72/146,386.32 = 58,328.96/x
  3. Step 3: Cross multiply
    106,076.72x = 146,386.32 × 58,328.96
  4. Step 4: Simplify right side
    106,076.72x = 8,538,561,803.83
  5. Step 5: Solve for x
    x = 8,538,561,803.83/106,076.72
  6. Step 6: Final answer
    x = 80,494.21

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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.