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Finding the Fourth Proportional to 182,598.90, 251,987.72 and 102,029.82

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Solution

The fourth proportional to 182,598.90, 251,987.72 and 102,029.82 is: 140,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,598.90 : 251,987.72 = 102,029.82 : x
  2. Step 2: Convert to fraction form
    182,598.90/251,987.72 = 102,029.82/x
  3. Step 3: Cross multiply
    182,598.90x = 251,987.72 × 102,029.82
  4. Step 4: Simplify right side
    182,598.90x = 25,710,261,713.81
  5. Step 5: Solve for x
    x = 25,710,261,713.81/182,598.90
  6. Step 6: Final answer
    x = 140,801.84

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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.