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Finding the Fourth Proportional to 157,914, 236,987.88 and 74,808.24

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Solution

The fourth proportional to 157,914, 236,987.88 and 74,808.24 is: 112,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,914 : 236,987.88 = 74,808.24 : x
  2. Step 2: Convert to fraction form
    157,914/236,987.88 = 74,808.24/x
  3. Step 3: Cross multiply
    157,914x = 236,987.88 × 74,808.24
  4. Step 4: Simplify right side
    157,914x = 17,728,646,204.13
  5. Step 5: Solve for x
    x = 17,728,646,204.13/157,914
  6. Step 6: Final answer
    x = 112,267.73

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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.