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Finding the Fourth Proportional to 271,420.50, 406,715.56 and 145,078.72

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Solution

The fourth proportional to 271,420.50, 406,715.56 and 145,078.72 is: 217,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,420.50 : 406,715.56 = 145,078.72 : x
  2. Step 2: Convert to fraction form
    271,420.50/406,715.56 = 145,078.72/x
  3. Step 3: Cross multiply
    271,420.50x = 406,715.56 × 145,078.72
  4. Step 4: Simplify right side
    271,420.50x = 59,005,772,848.88
  5. Step 5: Solve for x
    x = 59,005,772,848.88/271,420.50
  6. Step 6: Final answer
    x = 217,396.15

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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.