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Finding the Fourth Proportional to 148,656.91, 223,019.41 and 64,431.22

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Solution

The fourth proportional to 148,656.91, 223,019.41 and 64,431.22 is: 96,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,656.91 : 223,019.41 = 64,431.22 : x
  2. Step 2: Convert to fraction form
    148,656.91/223,019.41 = 64,431.22/x
  3. Step 3: Cross multiply
    148,656.91x = 223,019.41 × 64,431.22
  4. Step 4: Simplify right side
    148,656.91x = 14,369,412,669.98
  5. Step 5: Solve for x
    x = 14,369,412,669.98/148,656.91
  6. Step 6: Final answer
    x = 96,661.59

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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.