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Finding the Fourth Proportional to 195,883.20, 293,824.80 and 96,058.80

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Solution

The fourth proportional to 195,883.20, 293,824.80 and 96,058.80 is: 144,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,883.20 : 293,824.80 = 96,058.80 : x
  2. Step 2: Convert to fraction form
    195,883.20/293,824.80 = 96,058.80/x
  3. Step 3: Cross multiply
    195,883.20x = 293,824.80 × 96,058.80
  4. Step 4: Simplify right side
    195,883.20x = 28,224,457,698.24
  5. Step 5: Solve for x
    x = 28,224,457,698.24/195,883.20
  6. Step 6: Final answer
    x = 144,088.20

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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.