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Finding the Fourth Proportional to 209,580.48, 314,373.96 and 116,676.72

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Solution

The fourth proportional to 209,580.48, 314,373.96 and 116,676.72 is: 175,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,580.48 : 314,373.96 = 116,676.72 : x
  2. Step 2: Convert to fraction form
    209,580.48/314,373.96 = 116,676.72/x
  3. Step 3: Cross multiply
    209,580.48x = 314,373.96 × 116,676.72
  4. Step 4: Simplify right side
    209,580.48x = 36,680,122,506.21
  5. Step 5: Solve for x
    x = 36,680,122,506.21/209,580.48
  6. Step 6: Final answer
    x = 175,016.88

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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.