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Finding the Fourth Proportional to 160,026.24, 220,593.60 and 106,216.32

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Solution

The fourth proportional to 160,026.24, 220,593.60 and 106,216.32 is: 146,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,026.24 : 220,593.60 = 106,216.32 : x
  2. Step 2: Convert to fraction form
    160,026.24/220,593.60 = 106,216.32/x
  3. Step 3: Cross multiply
    160,026.24x = 220,593.60 × 106,216.32
  4. Step 4: Simplify right side
    160,026.24x = 23,430,640,407.55
  5. Step 5: Solve for x
    x = 23,430,640,407.55/160,026.24
  6. Step 6: Final answer
    x = 146,417.49

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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.