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Finding the Fourth Proportional to 164,223.46, 245,855.39 and 148,464.91

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Solution

The fourth proportional to 164,223.46, 245,855.39 and 148,464.91 is: 222,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,223.46 : 245,855.39 = 148,464.91 : x
  2. Step 2: Convert to fraction form
    164,223.46/245,855.39 = 148,464.91/x
  3. Step 3: Cross multiply
    164,223.46x = 245,855.39 × 148,464.91
  4. Step 4: Simplify right side
    164,223.46x = 36,500,897,120.09
  5. Step 5: Solve for x
    x = 36,500,897,120.09/164,223.46
  6. Step 6: Final answer
    x = 222,263.60

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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.