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Finding the Fourth Proportional to 195,564.80, 293,289.60 and 77,196.80

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Solution

The fourth proportional to 195,564.80, 293,289.60 and 77,196.80 is: 115,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,564.80 : 293,289.60 = 77,196.80 : x
  2. Step 2: Convert to fraction form
    195,564.80/293,289.60 = 77,196.80/x
  3. Step 3: Cross multiply
    195,564.80x = 293,289.60 × 77,196.80
  4. Step 4: Simplify right side
    195,564.80x = 22,641,018,593.28
  5. Step 5: Solve for x
    x = 22,641,018,593.28/195,564.80
  6. Step 6: Final answer
    x = 115,772.46

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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.