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Finding the Fourth Proportional to 109,803.64, 151,529.22 and 59,502.64

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Solution

The fourth proportional to 109,803.64, 151,529.22 and 59,502.64 is: 82,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,803.64 : 151,529.22 = 59,502.64 : x
  2. Step 2: Convert to fraction form
    109,803.64/151,529.22 = 59,502.64/x
  3. Step 3: Cross multiply
    109,803.64x = 151,529.22 × 59,502.64
  4. Step 4: Simplify right side
    109,803.64x = 9,016,388,627.14
  5. Step 5: Solve for x
    x = 9,016,388,627.14/109,803.64
  6. Step 6: Final answer
    x = 82,113.75

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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.