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Finding the Fourth Proportional to 253,346.40, 380,077.20 and 148,111.20

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Solution

The fourth proportional to 253,346.40, 380,077.20 and 148,111.20 is: 222,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,346.40 : 380,077.20 = 148,111.20 : x
  2. Step 2: Convert to fraction form
    253,346.40/380,077.20 = 148,111.20/x
  3. Step 3: Cross multiply
    253,346.40x = 380,077.20 × 148,111.20
  4. Step 4: Simplify right side
    253,346.40x = 56,293,690,184.64
  5. Step 5: Solve for x
    x = 56,293,690,184.64/253,346.40
  6. Step 6: Final answer
    x = 222,200.47

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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.