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Finding the Fourth Proportional to 222,116.76, 333,897.66 and 178,224.48

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Solution

The fourth proportional to 222,116.76, 333,897.66 and 178,224.48 is: 267,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,116.76 : 333,897.66 = 178,224.48 : x
  2. Step 2: Convert to fraction form
    222,116.76/333,897.66 = 178,224.48/x
  3. Step 3: Cross multiply
    222,116.76x = 333,897.66 × 178,224.48
  4. Step 4: Simplify right side
    222,116.76x = 59,508,736,826.72
  5. Step 5: Solve for x
    x = 59,508,736,826.72/222,116.76
  6. Step 6: Final answer
    x = 267,916.46

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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.