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Finding the Fourth Proportional to 111,430.60, 167,294.22 and 64,717

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Solution

The fourth proportional to 111,430.60, 167,294.22 and 64,717 is: 97,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,430.60 : 167,294.22 = 64,717 : x
  2. Step 2: Convert to fraction form
    111,430.60/167,294.22 = 64,717/x
  3. Step 3: Cross multiply
    111,430.60x = 167,294.22 × 64,717
  4. Step 4: Simplify right side
    111,430.60x = 10,826,780,035.74
  5. Step 5: Solve for x
    x = 10,826,780,035.74/111,430.60
  6. Step 6: Final answer
    x = 97,161.64

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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.