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Finding the Fourth Proportional to 164,224.84, 245,857.44 and 148,466.28

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Solution

The fourth proportional to 164,224.84, 245,857.44 and 148,466.28 is: 222,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,224.84 : 245,857.44 = 148,466.28 : x
  2. Step 2: Convert to fraction form
    164,224.84/245,857.44 = 148,466.28/x
  3. Step 3: Cross multiply
    164,224.84x = 245,857.44 × 148,466.28
  4. Step 4: Simplify right side
    164,224.84x = 36,501,539,527.12
  5. Step 5: Solve for x
    x = 36,501,539,527.12/164,224.84
  6. Step 6: Final answer
    x = 222,265.64

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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.