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Finding the Fourth Proportional to 107,098.98, 160,647.30 and 43,905.00

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Solution

The fourth proportional to 107,098.98, 160,647.30 and 43,905.00 is: 65,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.98 : 160,647.30 = 43,905.00 : x
  2. Step 2: Convert to fraction form
    107,098.98/160,647.30 = 43,905.00/x
  3. Step 3: Cross multiply
    107,098.98x = 160,647.30 × 43,905.00
  4. Step 4: Simplify right side
    107,098.98x = 7,053,220,308.93
  5. Step 5: Solve for x
    x = 7,053,220,308.93/107,098.98
  6. Step 6: Final answer
    x = 65,857.03

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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.