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Finding the Fourth Proportional to 188,846.48, 283,379.16 and 70,513.40

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Solution

The fourth proportional to 188,846.48, 283,379.16 and 70,513.40 is: 105,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,846.48 : 283,379.16 = 70,513.40 : x
  2. Step 2: Convert to fraction form
    188,846.48/283,379.16 = 70,513.40/x
  3. Step 3: Cross multiply
    188,846.48x = 283,379.16 × 70,513.40
  4. Step 4: Simplify right side
    188,846.48x = 19,982,028,060.74
  5. Step 5: Solve for x
    x = 19,982,028,060.74/188,846.48
  6. Step 6: Final answer
    x = 105,810.96

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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.