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Finding the Fourth Proportional to 186,874.98, 280,312.47 and 46,633.61

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Solution

The fourth proportional to 186,874.98, 280,312.47 and 46,633.61 is: 69,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,874.98 : 280,312.47 = 46,633.61 : x
  2. Step 2: Convert to fraction form
    186,874.98/280,312.47 = 46,633.61/x
  3. Step 3: Cross multiply
    186,874.98x = 280,312.47 × 46,633.61
  4. Step 4: Simplify right side
    186,874.98x = 13,071,981,002.55
  5. Step 5: Solve for x
    x = 13,071,981,002.55/186,874.98
  6. Step 6: Final answer
    x = 69,950.41

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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.