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Finding the Fourth Proportional to 204,671.40, 307,007.10 and 92,405.40

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Solution

The fourth proportional to 204,671.40, 307,007.10 and 92,405.40 is: 138,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671.40 : 307,007.10 = 92,405.40 : x
  2. Step 2: Convert to fraction form
    204,671.40/307,007.10 = 92,405.40/x
  3. Step 3: Cross multiply
    204,671.40x = 307,007.10 × 92,405.40
  4. Step 4: Simplify right side
    204,671.40x = 28,369,113,878.34
  5. Step 5: Solve for x
    x = 28,369,113,878.34/204,671.40
  6. Step 6: Final answer
    x = 138,608.10

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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.