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Finding the Fourth Proportional to 111,767.76, 154,230.36 and 65,820.12

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Solution

The fourth proportional to 111,767.76, 154,230.36 and 65,820.12 is: 90,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,767.76 : 154,230.36 = 65,820.12 : x
  2. Step 2: Convert to fraction form
    111,767.76/154,230.36 = 65,820.12/x
  3. Step 3: Cross multiply
    111,767.76x = 154,230.36 × 65,820.12
  4. Step 4: Simplify right side
    111,767.76x = 10,151,460,802.84
  5. Step 5: Solve for x
    x = 10,151,460,802.84/111,767.76
  6. Step 6: Final answer
    x = 90,826.38

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Why These Related Problems?

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