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Finding the Fourth Proportional to 215,726.64, 297,712.98 and 120,234.06

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Solution

The fourth proportional to 215,726.64, 297,712.98 and 120,234.06 is: 165,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,726.64 : 297,712.98 = 120,234.06 : x
  2. Step 2: Convert to fraction form
    215,726.64/297,712.98 = 120,234.06/x
  3. Step 3: Cross multiply
    215,726.64x = 297,712.98 × 120,234.06
  4. Step 4: Simplify right side
    215,726.64x = 35,795,240,300.10
  5. Step 5: Solve for x
    x = 35,795,240,300.10/215,726.64
  6. Step 6: Final answer
    x = 165,928.70

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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.