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Finding the Fourth Proportional to 106,102.46, 146,420.11 and 58,354.78

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Solution

The fourth proportional to 106,102.46, 146,420.11 and 58,354.78 is: 80,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.46 : 146,420.11 = 58,354.78 : x
  2. Step 2: Convert to fraction form
    106,102.46/146,420.11 = 58,354.78/x
  3. Step 3: Cross multiply
    106,102.46x = 146,420.11 × 58,354.78
  4. Step 4: Simplify right side
    106,102.46x = 8,544,312,959.81
  5. Step 5: Solve for x
    x = 8,544,312,959.81/106,102.46
  6. Step 6: Final answer
    x = 80,528.89

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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.