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Finding the Fourth Proportional to 236,000.80, 353,870 and 78,143.16

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Solution

The fourth proportional to 236,000.80, 353,870 and 78,143.16 is: 117,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,000.80 : 353,870 = 78,143.16 : x
  2. Step 2: Convert to fraction form
    236,000.80/353,870 = 78,143.16/x
  3. Step 3: Cross multiply
    236,000.80x = 353,870 × 78,143.16
  4. Step 4: Simplify right side
    236,000.80x = 27,652,520,029.20
  5. Step 5: Solve for x
    x = 27,652,520,029.20/236,000.80
  6. Step 6: Final answer
    x = 117,171.30

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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.