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Finding the Fourth Proportional to 158,954.94, 238,366.80 and 64,181.30

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Solution

The fourth proportional to 158,954.94, 238,366.80 and 64,181.30 is: 96,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,954.94 : 238,366.80 = 64,181.30 : x
  2. Step 2: Convert to fraction form
    158,954.94/238,366.80 = 64,181.30/x
  3. Step 3: Cross multiply
    158,954.94x = 238,366.80 × 64,181.30
  4. Step 4: Simplify right side
    158,954.94x = 15,298,689,909.01
  5. Step 5: Solve for x
    x = 15,298,689,909.01/158,954.94
  6. Step 6: Final answer
    x = 96,245.45

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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.