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Finding the Fourth Proportional to 195,392.37, 292,935.44 and 77,152.21

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Solution

The fourth proportional to 195,392.37, 292,935.44 and 77,152.21 is: 115,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,392.37 : 292,935.44 = 77,152.21 : x
  2. Step 2: Convert to fraction form
    195,392.37/292,935.44 = 77,152.21/x
  3. Step 3: Cross multiply
    195,392.37x = 292,935.44 × 77,152.21
  4. Step 4: Simplify right side
    195,392.37x = 22,600,617,315.66
  5. Step 5: Solve for x
    x = 22,600,617,315.66/195,392.37
  6. Step 6: Final answer
    x = 115,667.86

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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.