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Finding the Fourth Proportional to 175,597.78, 242,322.95 and 95,023.84

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Solution

The fourth proportional to 175,597.78, 242,322.95 and 95,023.84 is: 131,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,597.78 : 242,322.95 = 95,023.84 : x
  2. Step 2: Convert to fraction form
    175,597.78/242,322.95 = 95,023.84/x
  3. Step 3: Cross multiply
    175,597.78x = 242,322.95 × 95,023.84
  4. Step 4: Simplify right side
    175,597.78x = 23,026,456,860.88
  5. Step 5: Solve for x
    x = 23,026,456,860.88/175,597.78
  6. Step 6: Final answer
    x = 131,131.82

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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.