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Finding the Fourth Proportional to 164,196.52, 245,814.92 and 148,437.84

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Solution

The fourth proportional to 164,196.52, 245,814.92 and 148,437.84 is: 222,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,196.52 : 245,814.92 = 148,437.84 : x
  2. Step 2: Convert to fraction form
    164,196.52/245,814.92 = 148,437.84/x
  3. Step 3: Cross multiply
    164,196.52x = 245,814.92 × 148,437.84
  4. Step 4: Simplify right side
    164,196.52x = 36,488,235,764.57
  5. Step 5: Solve for x
    x = 36,488,235,764.57/164,196.52
  6. Step 6: Final answer
    x = 222,222.95

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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.