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Finding the Fourth Proportional to 195,396.43, 292,941.53 and 77,156.27

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Solution

The fourth proportional to 195,396.43, 292,941.53 and 77,156.27 is: 115,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,396.43 : 292,941.53 = 77,156.27 : x
  2. Step 2: Convert to fraction form
    195,396.43/292,941.53 = 77,156.27/x
  3. Step 3: Cross multiply
    195,396.43x = 292,941.53 × 77,156.27
  4. Step 4: Simplify right side
    195,396.43x = 22,602,275,782.89
  5. Step 5: Solve for x
    x = 22,602,275,782.89/195,396.43
  6. Step 6: Final answer
    x = 115,673.94

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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.