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Finding the Fourth Proportional to 159,484.60, 219,845.10 and 102,823.48

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Solution

The fourth proportional to 159,484.60, 219,845.10 and 102,823.48 is: 141,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,484.60 : 219,845.10 = 102,823.48 : x
  2. Step 2: Convert to fraction form
    159,484.60/219,845.10 = 102,823.48/x
  3. Step 3: Cross multiply
    159,484.60x = 219,845.10 × 102,823.48
  4. Step 4: Simplify right side
    159,484.60x = 22,605,238,242.95
  5. Step 5: Solve for x
    x = 22,605,238,242.95/159,484.60
  6. Step 6: Final answer
    x = 141,739.32

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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.