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Finding the Fourth Proportional to 195,302.80, 292,896.60 and 76,934.80

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Solution

The fourth proportional to 195,302.80, 292,896.60 and 76,934.80 is: 115,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,302.80 : 292,896.60 = 76,934.80 : x
  2. Step 2: Convert to fraction form
    195,302.80/292,896.60 = 76,934.80/x
  3. Step 3: Cross multiply
    195,302.80x = 292,896.60 × 76,934.80
  4. Step 4: Simplify right side
    195,302.80x = 22,533,941,341.68
  5. Step 5: Solve for x
    x = 22,533,941,341.68/195,302.80
  6. Step 6: Final answer
    x = 115,379.51

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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.