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Finding the Fourth Proportional to 157,997.57, 236,948.15 and 83,077.07

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Solution

The fourth proportional to 157,997.57, 236,948.15 and 83,077.07 is: 124,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,997.57 : 236,948.15 = 83,077.07 : x
  2. Step 2: Convert to fraction form
    157,997.57/236,948.15 = 83,077.07/x
  3. Step 3: Cross multiply
    157,997.57x = 236,948.15 × 83,077.07
  4. Step 4: Simplify right side
    157,997.57x = 19,684,957,066.87
  5. Step 5: Solve for x
    x = 19,684,957,066.87/157,997.57
  6. Step 6: Final answer
    x = 124,590.26

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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.