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Finding the Fourth Proportional to 537,874.96, 806,900 and 158,833.98

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Solution

The fourth proportional to 537,874.96, 806,900 and 158,833.98 is: 238,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,874.96 : 806,900 = 158,833.98 : x
  2. Step 2: Convert to fraction form
    537,874.96/806,900 = 158,833.98/x
  3. Step 3: Cross multiply
    537,874.96x = 806,900 × 158,833.98
  4. Step 4: Simplify right side
    537,874.96x = 128,163,138,462.00
  5. Step 5: Solve for x
    x = 128,163,138,462.00/537,874.96
  6. Step 6: Final answer
    x = 238,276.83

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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.