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Finding the Fourth Proportional to 182,596.51, 251,978.48 and 102,024.70

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Solution

The fourth proportional to 182,596.51, 251,978.48 and 102,024.70 is: 140,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,596.51 : 251,978.48 = 102,024.70 : x
  2. Step 2: Convert to fraction form
    182,596.51/251,978.48 = 102,024.70/x
  3. Step 3: Cross multiply
    182,596.51x = 251,978.48 × 102,024.70
  4. Step 4: Simplify right side
    182,596.51x = 25,708,028,070.98
  5. Step 5: Solve for x
    x = 25,708,028,070.98/182,596.51
  6. Step 6: Final answer
    x = 140,791.45

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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.