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Finding the Fourth Proportional to 111,409.74, 167,262.90 and 64,696.14

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Solution

The fourth proportional to 111,409.74, 167,262.90 and 64,696.14 is: 97,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,409.74 : 167,262.90 = 64,696.14 : x
  2. Step 2: Convert to fraction form
    111,409.74/167,262.90 = 64,696.14/x
  3. Step 3: Cross multiply
    111,409.74x = 167,262.90 × 64,696.14
  4. Step 4: Simplify right side
    111,409.74x = 10,821,263,995.21
  5. Step 5: Solve for x
    x = 10,821,263,995.21/111,409.74
  6. Step 6: Final answer
    x = 97,130.32

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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.