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Finding the Fourth Proportional to 148,672.48, 205,117.77 and 84,964.90

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Solution

The fourth proportional to 148,672.48, 205,117.77 and 84,964.90 is: 117,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,672.48 : 205,117.77 = 84,964.90 : x
  2. Step 2: Convert to fraction form
    148,672.48/205,117.77 = 84,964.90/x
  3. Step 3: Cross multiply
    148,672.48x = 205,117.77 × 84,964.90
  4. Step 4: Simplify right side
    148,672.48x = 17,427,810,816.27
  5. Step 5: Solve for x
    x = 17,427,810,816.27/148,672.48
  6. Step 6: Final answer
    x = 117,222.84

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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.