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Finding the Fourth Proportional to 111,980.16, 154,532.61 and 61,679.16

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Solution

The fourth proportional to 111,980.16, 154,532.61 and 61,679.16 is: 85,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,980.16 : 154,532.61 = 61,679.16 : x
  2. Step 2: Convert to fraction form
    111,980.16/154,532.61 = 61,679.16/x
  3. Step 3: Cross multiply
    111,980.16x = 154,532.61 × 61,679.16
  4. Step 4: Simplify right side
    111,980.16x = 9,531,441,577.41
  5. Step 5: Solve for x
    x = 9,531,441,577.41/111,980.16
  6. Step 6: Final answer
    x = 85,117.23

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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.