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Finding the Fourth Proportional to 148,194, 222,291.36 and 37,386

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Solution

The fourth proportional to 148,194, 222,291.36 and 37,386 is: 56,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,194 : 222,291.36 = 37,386 : x
  2. Step 2: Convert to fraction form
    148,194/222,291.36 = 37,386/x
  3. Step 3: Cross multiply
    148,194x = 222,291.36 × 37,386
  4. Step 4: Simplify right side
    148,194x = 8,310,584,784.96
  5. Step 5: Solve for x
    x = 8,310,584,784.96/148,194
  6. Step 6: Final answer
    x = 56,079.09

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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.