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Finding the Fourth Proportional to 106,077, 146,386.29 and 58,333.62

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Solution

The fourth proportional to 106,077, 146,386.29 and 58,333.62 is: 80,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,077 : 146,386.29 = 58,333.62 : x
  2. Step 2: Convert to fraction form
    106,077/146,386.29 = 58,333.62/x
  3. Step 3: Cross multiply
    106,077x = 146,386.29 × 58,333.62
  4. Step 4: Simplify right side
    106,077x = 8,539,242,214.07
  5. Step 5: Solve for x
    x = 8,539,242,214.07/106,077
  6. Step 6: Final answer
    x = 80,500.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.