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Finding the Fourth Proportional to 195,393.93, 292,937.78 and 77,153.78

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Solution

The fourth proportional to 195,393.93, 292,937.78 and 77,153.78 is: 115,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,393.93 : 292,937.78 = 77,153.78 : x
  2. Step 2: Convert to fraction form
    195,393.93/292,937.78 = 77,153.78/x
  3. Step 3: Cross multiply
    195,393.93x = 292,937.78 × 77,153.78
  4. Step 4: Simplify right side
    195,393.93x = 22,601,255,567.12
  5. Step 5: Solve for x
    x = 22,601,255,567.12/195,393.93
  6. Step 6: Final answer
    x = 115,670.20

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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.