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Finding the Fourth Proportional to 210,156.88, 290,013.96 and 120,732.88

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Solution

The fourth proportional to 210,156.88, 290,013.96 and 120,732.88 is: 166,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,156.88 : 290,013.96 = 120,732.88 : x
  2. Step 2: Convert to fraction form
    210,156.88/290,013.96 = 120,732.88/x
  3. Step 3: Cross multiply
    210,156.88x = 290,013.96 × 120,732.88
  4. Step 4: Simplify right side
    210,156.88x = 35,014,220,631.00
  5. Step 5: Solve for x
    x = 35,014,220,631.00/210,156.88
  6. Step 6: Final answer
    x = 166,609.92

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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.