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Finding the Fourth Proportional to 183,987.96, 253,910.57 and 103,415.24

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Solution

The fourth proportional to 183,987.96, 253,910.57 and 103,415.24 is: 142,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,987.96 : 253,910.57 = 103,415.24 : x
  2. Step 2: Convert to fraction form
    183,987.96/253,910.57 = 103,415.24/x
  3. Step 3: Cross multiply
    183,987.96x = 253,910.57 × 103,415.24
  4. Step 4: Simplify right side
    183,987.96x = 26,258,220,748.46
  5. Step 5: Solve for x
    x = 26,258,220,748.46/183,987.96
  6. Step 6: Final answer
    x = 142,717.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.