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Finding the Fourth Proportional to 148,610, 222,927.96 and 37,802

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Solution

The fourth proportional to 148,610, 222,927.96 and 37,802 is: 56,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,610 : 222,927.96 = 37,802 : x
  2. Step 2: Convert to fraction form
    148,610/222,927.96 = 37,802/x
  3. Step 3: Cross multiply
    148,610x = 222,927.96 × 37,802
  4. Step 4: Simplify right side
    148,610x = 8,427,122,743.92
  5. Step 5: Solve for x
    x = 8,427,122,743.92/148,610
  6. Step 6: Final answer
    x = 56,706.30

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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.