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Finding the Fourth Proportional to 148,175, 222,282.03 and 48,300.20

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Solution

The fourth proportional to 148,175, 222,282.03 and 48,300.20 is: 72,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,175 : 222,282.03 = 48,300.20 : x
  2. Step 2: Convert to fraction form
    148,175/222,282.03 = 48,300.20/x
  3. Step 3: Cross multiply
    148,175x = 222,282.03 × 48,300.20
  4. Step 4: Simplify right side
    148,175x = 10,736,266,505.41
  5. Step 5: Solve for x
    x = 10,736,266,505.41/148,175
  6. Step 6: Final answer
    x = 72,456.67

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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.