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Finding the Fourth Proportional to 222,602.32, 334,013.10 and 104,253.22

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Solution

The fourth proportional to 222,602.32, 334,013.10 and 104,253.22 is: 156,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,602.32 : 334,013.10 = 104,253.22 : x
  2. Step 2: Convert to fraction form
    222,602.32/334,013.10 = 104,253.22/x
  3. Step 3: Cross multiply
    222,602.32x = 334,013.10 × 104,253.22
  4. Step 4: Simplify right side
    222,602.32x = 34,821,941,197.18
  5. Step 5: Solve for x
    x = 34,821,941,197.18/222,602.32
  6. Step 6: Final answer
    x = 156,431.17

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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.