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Finding the Fourth Proportional to 182,188, 251,419.44 and 102,700

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Solution

The fourth proportional to 182,188, 251,419.44 and 102,700 is: 141,726

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,188 : 251,419.44 = 102,700 : x
  2. Step 2: Convert to fraction form
    182,188/251,419.44 = 102,700/x
  3. Step 3: Cross multiply
    182,188x = 251,419.44 × 102,700
  4. Step 4: Simplify right side
    182,188x = 25,820,776,488
  5. Step 5: Solve for x
    x = 25,820,776,488/182,188
  6. Step 6: Final answer
    x = 141,726

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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.