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Finding the Fourth Proportional to 131,465.80, 197,198.70 and 78,848.20

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Solution

The fourth proportional to 131,465.80, 197,198.70 and 78,848.20 is: 118,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,465.80 : 197,198.70 = 78,848.20 : x
  2. Step 2: Convert to fraction form
    131,465.80/197,198.70 = 78,848.20/x
  3. Step 3: Cross multiply
    131,465.80x = 197,198.70 × 78,848.20
  4. Step 4: Simplify right side
    131,465.80x = 15,548,762,537.34
  5. Step 5: Solve for x
    x = 15,548,762,537.34/131,465.80
  6. Step 6: Final answer
    x = 118,272.30

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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.