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Finding the Fourth Proportional to 199,532.64, 299,247.76 and 59,258.72

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Solution

The fourth proportional to 199,532.64, 299,247.76 and 59,258.72 is: 88,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532.64 : 299,247.76 = 59,258.72 : x
  2. Step 2: Convert to fraction form
    199,532.64/299,247.76 = 59,258.72/x
  3. Step 3: Cross multiply
    199,532.64x = 299,247.76 × 59,258.72
  4. Step 4: Simplify right side
    199,532.64x = 17,733,039,220.47
  5. Step 5: Solve for x
    x = 17,733,039,220.47/199,532.64
  6. Step 6: Final answer
    x = 88,872.87

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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.