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Finding the Fourth Proportional to 187,678.91, 281,518.81 and 45,523.60

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Solution

The fourth proportional to 187,678.91, 281,518.81 and 45,523.60 is: 68,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,678.91 : 281,518.81 = 45,523.60 : x
  2. Step 2: Convert to fraction form
    187,678.91/281,518.81 = 45,523.60/x
  3. Step 3: Cross multiply
    187,678.91x = 281,518.81 × 45,523.60
  4. Step 4: Simplify right side
    187,678.91x = 12,815,748,881.31
  5. Step 5: Solve for x
    x = 12,815,748,881.31/187,678.91
  6. Step 6: Final answer
    x = 68,285.50

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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.