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Finding the Fourth Proportional to 148,601.90, 205,051.56 and 84,944

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Solution

The fourth proportional to 148,601.90, 205,051.56 and 84,944 is: 117,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,601.90 : 205,051.56 = 84,944 : x
  2. Step 2: Convert to fraction form
    148,601.90/205,051.56 = 84,944/x
  3. Step 3: Cross multiply
    148,601.90x = 205,051.56 × 84,944
  4. Step 4: Simplify right side
    148,601.90x = 17,417,899,712.64
  5. Step 5: Solve for x
    x = 17,417,899,712.64/148,601.90
  6. Step 6: Final answer
    x = 117,211.82

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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.