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Finding the Fourth Proportional to 148,214, 222,362.64 and 59,529.76

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Solution

The fourth proportional to 148,214, 222,362.64 and 59,529.76 is: 89,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,214 : 222,362.64 = 59,529.76 : x
  2. Step 2: Convert to fraction form
    148,214/222,362.64 = 59,529.76/x
  3. Step 3: Cross multiply
    148,214x = 222,362.64 × 59,529.76
  4. Step 4: Simplify right side
    148,214x = 13,237,194,592.17
  5. Step 5: Solve for x
    x = 13,237,194,592.17/148,214
  6. Step 6: Final answer
    x = 89,311.36

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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.