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Finding the Fourth Proportional to 157,851.92, 236,752.32 and 57,987.56

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Solution

The fourth proportional to 157,851.92, 236,752.32 and 57,987.56 is: 86,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,851.92 : 236,752.32 = 57,987.56 : x
  2. Step 2: Convert to fraction form
    157,851.92/236,752.32 = 57,987.56/x
  3. Step 3: Cross multiply
    157,851.92x = 236,752.32 × 57,987.56
  4. Step 4: Simplify right side
    157,851.92x = 13,728,689,361.14
  5. Step 5: Solve for x
    x = 13,728,689,361.14/157,851.92
  6. Step 6: Final answer
    x = 86,971.95

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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.