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Finding the Fourth Proportional to 215,509.11, 297,381.29 and 120,024.69

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Solution

The fourth proportional to 215,509.11, 297,381.29 and 120,024.69 is: 165,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,509.11 : 297,381.29 = 120,024.69 : x
  2. Step 2: Convert to fraction form
    215,509.11/297,381.29 = 120,024.69/x
  3. Step 3: Cross multiply
    215,509.11x = 297,381.29 × 120,024.69
  4. Step 4: Simplify right side
    215,509.11x = 35,693,096,543.93
  5. Step 5: Solve for x
    x = 35,693,096,543.93/215,509.11
  6. Step 6: Final answer
    x = 165,622.22

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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.