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Finding the Fourth Proportional to 182,503.20, 251,709.84 and 110,881.20

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Solution

The fourth proportional to 182,503.20, 251,709.84 and 110,881.20 is: 152,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,503.20 : 251,709.84 = 110,881.20 : x
  2. Step 2: Convert to fraction form
    182,503.20/251,709.84 = 110,881.20/x
  3. Step 3: Cross multiply
    182,503.20x = 251,709.84 × 110,881.20
  4. Step 4: Simplify right side
    182,503.20x = 27,909,889,111.01
  5. Step 5: Solve for x
    x = 27,909,889,111.01/182,503.20
  6. Step 6: Final answer
    x = 152,928.22

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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.