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Finding the Fourth Proportional to 106,420.52, 146,857.50 and 58,672.64

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Solution

The fourth proportional to 106,420.52, 146,857.50 and 58,672.64 is: 80,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.52 : 146,857.50 = 58,672.64 : x
  2. Step 2: Convert to fraction form
    106,420.52/146,857.50 = 58,672.64/x
  3. Step 3: Cross multiply
    106,420.52x = 146,857.50 × 58,672.64
  4. Step 4: Simplify right side
    106,420.52x = 8,616,516,494.51
  5. Step 5: Solve for x
    x = 8,616,516,494.51/106,420.52
  6. Step 6: Final answer
    x = 80,966.69

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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.