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Finding the Fourth Proportional to 195,564.80, 293,116.80 and 102,022.40

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Solution

The fourth proportional to 195,564.80, 293,116.80 and 102,022.40 is: 152,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,564.80 : 293,116.80 = 102,022.40 : x
  2. Step 2: Convert to fraction form
    195,564.80/293,116.80 = 102,022.40/x
  3. Step 3: Cross multiply
    195,564.80x = 293,116.80 × 102,022.40
  4. Step 4: Simplify right side
    195,564.80x = 29,904,479,416.32
  5. Step 5: Solve for x
    x = 29,904,479,416.32/195,564.80
  6. Step 6: Final answer
    x = 152,913.40

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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.