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Finding the Fourth Proportional to 187,100.96, 280,828.88 and 115,807.94

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Solution

The fourth proportional to 187,100.96, 280,828.88 and 115,807.94 is: 173,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,100.96 : 280,828.88 = 115,807.94 : x
  2. Step 2: Convert to fraction form
    187,100.96/280,828.88 = 115,807.94/x
  3. Step 3: Cross multiply
    187,100.96x = 280,828.88 × 115,807.94
  4. Step 4: Simplify right side
    187,100.96x = 32,522,214,208.34
  5. Step 5: Solve for x
    x = 32,522,214,208.34/187,100.96
  6. Step 6: Final answer
    x = 173,821.74

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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.