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Finding the Fourth Proportional to 215,522.54, 297,430.32 and 120,029.24

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Solution

The fourth proportional to 215,522.54, 297,430.32 and 120,029.24 is: 165,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,522.54 : 297,430.32 = 120,029.24 : x
  2. Step 2: Convert to fraction form
    215,522.54/297,430.32 = 120,029.24/x
  3. Step 3: Cross multiply
    215,522.54x = 297,430.32 × 120,029.24
  4. Step 4: Simplify right side
    215,522.54x = 35,700,333,775.41
  5. Step 5: Solve for x
    x = 35,700,333,775.41/215,522.54
  6. Step 6: Final answer
    x = 165,645.48

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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.