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Finding the Fourth Proportional to 111,709.80, 167,564.70 and 65,053.80

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Solution

The fourth proportional to 111,709.80, 167,564.70 and 65,053.80 is: 97,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,709.80 : 167,564.70 = 65,053.80 : x
  2. Step 2: Convert to fraction form
    111,709.80/167,564.70 = 65,053.80/x
  3. Step 3: Cross multiply
    111,709.80x = 167,564.70 × 65,053.80
  4. Step 4: Simplify right side
    111,709.80x = 10,900,720,480.86
  5. Step 5: Solve for x
    x = 10,900,720,480.86/111,709.80
  6. Step 6: Final answer
    x = 97,580.70

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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.