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Finding the Fourth Proportional to 182,413, 251,729.94 and 102,925

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Solution

The fourth proportional to 182,413, 251,729.94 and 102,925 is: 142,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,413 : 251,729.94 = 102,925 : x
  2. Step 2: Convert to fraction form
    182,413/251,729.94 = 102,925/x
  3. Step 3: Cross multiply
    182,413x = 251,729.94 × 102,925
  4. Step 4: Simplify right side
    182,413x = 25,909,304,074.50
  5. Step 5: Solve for x
    x = 25,909,304,074.50/182,413
  6. Step 6: Final answer
    x = 142,036.50

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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.