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Finding the Fourth Proportional to 195,641.88, 293,200.02 and 106,762.20

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Solution

The fourth proportional to 195,641.88, 293,200.02 and 106,762.20 is: 159,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,641.88 : 293,200.02 = 106,762.20 : x
  2. Step 2: Convert to fraction form
    195,641.88/293,200.02 = 106,762.20/x
  3. Step 3: Cross multiply
    195,641.88x = 293,200.02 × 106,762.20
  4. Step 4: Simplify right side
    195,641.88x = 31,302,679,175.24
  5. Step 5: Solve for x
    x = 31,302,679,175.24/195,641.88
  6. Step 6: Final answer
    x = 159,999.89

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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.