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Finding the Fourth Proportional to 274,213.64, 411,064.14 and 96,621.32

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Solution

The fourth proportional to 274,213.64, 411,064.14 and 96,621.32 is: 144,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,213.64 : 411,064.14 = 96,621.32 : x
  2. Step 2: Convert to fraction form
    274,213.64/411,064.14 = 96,621.32/x
  3. Step 3: Cross multiply
    274,213.64x = 411,064.14 × 96,621.32
  4. Step 4: Simplify right side
    274,213.64x = 39,717,559,811.46
  5. Step 5: Solve for x
    x = 39,717,559,811.46/274,213.64
  6. Step 6: Final answer
    x = 144,841.66

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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.