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Finding the Fourth Proportional to 148,647.80, 223,005.76 and 64,422.10

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Solution

The fourth proportional to 148,647.80, 223,005.76 and 64,422.10 is: 96,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,647.80 : 223,005.76 = 64,422.10 : x
  2. Step 2: Convert to fraction form
    148,647.80/223,005.76 = 64,422.10/x
  3. Step 3: Cross multiply
    148,647.80x = 223,005.76 × 64,422.10
  4. Step 4: Simplify right side
    148,647.80x = 14,366,499,371.30
  5. Step 5: Solve for x
    x = 14,366,499,371.30/148,647.80
  6. Step 6: Final answer
    x = 96,647.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.