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Finding the Fourth Proportional to 148,041.64, 222,053.82 and 37,225

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Solution

The fourth proportional to 148,041.64, 222,053.82 and 37,225 is: 55,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,041.64 : 222,053.82 = 37,225 : x
  2. Step 2: Convert to fraction form
    148,041.64/222,053.82 = 37,225/x
  3. Step 3: Cross multiply
    148,041.64x = 222,053.82 × 37,225
  4. Step 4: Simplify right side
    148,041.64x = 8,265,953,449.50
  5. Step 5: Solve for x
    x = 8,265,953,449.50/148,041.64
  6. Step 6: Final answer
    x = 55,835.33

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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.