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Finding the Fourth Proportional to 111,957.32, 154,494.10 and 61,656.32

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Solution

The fourth proportional to 111,957.32, 154,494.10 and 61,656.32 is: 85,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,957.32 : 154,494.10 = 61,656.32 : x
  2. Step 2: Convert to fraction form
    111,957.32/154,494.10 = 61,656.32/x
  3. Step 3: Cross multiply
    111,957.32x = 154,494.10 × 61,656.32
  4. Step 4: Simplify right side
    111,957.32x = 9,525,538,131.02
  5. Step 5: Solve for x
    x = 9,525,538,131.02/111,957.32
  6. Step 6: Final answer
    x = 85,081.87

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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.