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Finding the Fourth Proportional to 210,797.61, 290,893.43 and 120,182.76

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Solution

The fourth proportional to 210,797.61, 290,893.43 and 120,182.76 is: 165,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,797.61 : 290,893.43 = 120,182.76 : x
  2. Step 2: Convert to fraction form
    210,797.61/290,893.43 = 120,182.76/x
  3. Step 3: Cross multiply
    210,797.61x = 290,893.43 × 120,182.76
  4. Step 4: Simplify right side
    210,797.61x = 34,960,375,725.83
  5. Step 5: Solve for x
    x = 34,960,375,725.83/210,797.61
  6. Step 6: Final answer
    x = 165,848.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.