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Finding the Fourth Proportional to 194,636.60, 291,753.30 and 105,702.20

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Solution

The fourth proportional to 194,636.60, 291,753.30 and 105,702.20 is: 158,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,636.60 : 291,753.30 = 105,702.20 : x
  2. Step 2: Convert to fraction form
    194,636.60/291,753.30 = 105,702.20/x
  3. Step 3: Cross multiply
    194,636.60x = 291,753.30 × 105,702.20
  4. Step 4: Simplify right side
    194,636.60x = 30,838,965,667.26
  5. Step 5: Solve for x
    x = 30,838,965,667.26/194,636.60
  6. Step 6: Final answer
    x = 158,443.82

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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.