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Finding the Fourth Proportional to 164,222.96, 245,854.64 and 148,464.41

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Solution

The fourth proportional to 164,222.96, 245,854.64 and 148,464.41 is: 222,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222.96 : 245,854.64 = 148,464.41 : x
  2. Step 2: Convert to fraction form
    164,222.96/245,854.64 = 148,464.41/x
  3. Step 3: Cross multiply
    164,222.96x = 245,854.64 × 148,464.41
  4. Step 4: Simplify right side
    164,222.96x = 36,500,663,215.25
  5. Step 5: Solve for x
    x = 36,500,663,215.25/164,222.96
  6. Step 6: Final answer
    x = 222,262.86

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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.