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Finding the Fourth Proportional to 215,525.32, 297,434.15 and 120,032.01

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Solution

The fourth proportional to 215,525.32, 297,434.15 and 120,032.01 is: 165,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,525.32 : 297,434.15 = 120,032.01 : x
  2. Step 2: Convert to fraction form
    215,525.32/297,434.15 = 120,032.01/x
  3. Step 3: Cross multiply
    215,525.32x = 297,434.15 × 120,032.01
  4. Step 4: Simplify right side
    215,525.32x = 35,701,618,867.14
  5. Step 5: Solve for x
    x = 35,701,618,867.14/215,525.32
  6. Step 6: Final answer
    x = 165,649.30

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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.