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Finding the Fourth Proportional to 271,980.20, 407,957.84 and 94,501.10

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Solution

The fourth proportional to 271,980.20, 407,957.84 and 94,501.10 is: 141,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,980.20 : 407,957.84 = 94,501.10 : x
  2. Step 2: Convert to fraction form
    271,980.20/407,957.84 = 94,501.10/x
  3. Step 3: Cross multiply
    271,980.20x = 407,957.84 × 94,501.10
  4. Step 4: Simplify right side
    271,980.20x = 38,552,464,633.62
  5. Step 5: Solve for x
    x = 38,552,464,633.62/271,980.20
  6. Step 6: Final answer
    x = 141,747.32

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Why These Related Problems?

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