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Finding the Fourth Proportional to 219,755.86, 329,683.50 and 70,004.68

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Solution

The fourth proportional to 219,755.86, 329,683.50 and 70,004.68 is: 105,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,755.86 : 329,683.50 = 70,004.68 : x
  2. Step 2: Convert to fraction form
    219,755.86/329,683.50 = 70,004.68/x
  3. Step 3: Cross multiply
    219,755.86x = 329,683.50 × 70,004.68
  4. Step 4: Simplify right side
    219,755.86x = 23,079,387,094.57
  5. Step 5: Solve for x
    x = 23,079,387,094.57/219,755.86
  6. Step 6: Final answer
    x = 105,022.85

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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.