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Finding the Fourth Proportional to 238,956.30, 358,447.44 and 61,464.78

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Solution

The fourth proportional to 238,956.30, 358,447.44 and 61,464.78 is: 92,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,956.30 : 358,447.44 = 61,464.78 : x
  2. Step 2: Convert to fraction form
    238,956.30/358,447.44 = 61,464.78/x
  3. Step 3: Cross multiply
    238,956.30x = 358,447.44 × 61,464.78
  4. Step 4: Simplify right side
    238,956.30x = 22,031,893,041.16
  5. Step 5: Solve for x
    x = 22,031,893,041.16/238,956.30
  6. Step 6: Final answer
    x = 92,200.51

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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.