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Finding the Fourth Proportional to 210,702.20, 290,796.36 and 120,090.74

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Solution

The fourth proportional to 210,702.20, 290,796.36 and 120,090.74 is: 165,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,702.20 : 290,796.36 = 120,090.74 : x
  2. Step 2: Convert to fraction form
    210,702.20/290,796.36 = 120,090.74/x
  3. Step 3: Cross multiply
    210,702.20x = 290,796.36 × 120,090.74
  4. Step 4: Simplify right side
    210,702.20x = 34,921,950,061.71
  5. Step 5: Solve for x
    x = 34,921,950,061.71/210,702.20
  6. Step 6: Final answer
    x = 165,740.79

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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.