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Finding the Fourth Proportional to 224,749.74, 310,164.06 and 129,256.50

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Solution

The fourth proportional to 224,749.74, 310,164.06 and 129,256.50 is: 178,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,749.74 : 310,164.06 = 129,256.50 : x
  2. Step 2: Convert to fraction form
    224,749.74/310,164.06 = 129,256.50/x
  3. Step 3: Cross multiply
    224,749.74x = 310,164.06 × 129,256.50
  4. Step 4: Simplify right side
    224,749.74x = 40,090,720,821.39
  5. Step 5: Solve for x
    x = 40,090,720,821.39/224,749.74
  6. Step 6: Final answer
    x = 178,379.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.