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Finding the Fourth Proportional to 333,738.72, 500,258.16 and 156,096

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Solution

The fourth proportional to 333,738.72, 500,258.16 and 156,096 is: 233,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,738.72 : 500,258.16 = 156,096 : x
  2. Step 2: Convert to fraction form
    333,738.72/500,258.16 = 156,096/x
  3. Step 3: Cross multiply
    333,738.72x = 500,258.16 × 156,096
  4. Step 4: Simplify right side
    333,738.72x = 78,088,297,743.36
  5. Step 5: Solve for x
    x = 78,088,297,743.36/333,738.72
  6. Step 6: Final answer
    x = 233,980.34

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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.