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Finding the Fourth Proportional to 195,645.80, 293,468.70 and 102,333.80

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Solution

The fourth proportional to 195,645.80, 293,468.70 and 102,333.80 is: 153,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,645.80 : 293,468.70 = 102,333.80 : x
  2. Step 2: Convert to fraction form
    195,645.80/293,468.70 = 102,333.80/x
  3. Step 3: Cross multiply
    195,645.80x = 293,468.70 × 102,333.80
  4. Step 4: Simplify right side
    195,645.80x = 30,031,767,252.06
  5. Step 5: Solve for x
    x = 30,031,767,252.06/195,645.80
  6. Step 6: Final answer
    x = 153,500.70

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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.