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Finding the Fourth Proportional to 271,016, 374,002.08 and 151,784

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Solution

The fourth proportional to 271,016, 374,002.08 and 151,784 is: 209,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,016 : 374,002.08 = 151,784 : x
  2. Step 2: Convert to fraction form
    271,016/374,002.08 = 151,784/x
  3. Step 3: Cross multiply
    271,016x = 374,002.08 × 151,784
  4. Step 4: Simplify right side
    271,016x = 56,767,531,710.72
  5. Step 5: Solve for x
    x = 56,767,531,710.72/271,016
  6. Step 6: Final answer
    x = 209,461.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.