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Finding the Fourth Proportional to 188,095.86, 282,143.79 and 94,536

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Solution

The fourth proportional to 188,095.86, 282,143.79 and 94,536 is: 141,804

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,095.86 : 282,143.79 = 94,536 : x
  2. Step 2: Convert to fraction form
    188,095.86/282,143.79 = 94,536/x
  3. Step 3: Cross multiply
    188,095.86x = 282,143.79 × 94,536
  4. Step 4: Simplify right side
    188,095.86x = 26,672,745,331.44
  5. Step 5: Solve for x
    x = 26,672,745,331.44/188,095.86
  6. Step 6: Final answer
    x = 141,804

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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.