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Finding the Fourth Proportional to 194,223.34, 291,335.01 and 69,651.82

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Solution

The fourth proportional to 194,223.34, 291,335.01 and 69,651.82 is: 104,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,223.34 : 291,335.01 = 69,651.82 : x
  2. Step 2: Convert to fraction form
    194,223.34/291,335.01 = 69,651.82/x
  3. Step 3: Cross multiply
    194,223.34x = 291,335.01 × 69,651.82
  4. Step 4: Simplify right side
    194,223.34x = 20,292,013,676.22
  5. Step 5: Solve for x
    x = 20,292,013,676.22/194,223.34
  6. Step 6: Final answer
    x = 104,477.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.