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Finding the Fourth Proportional to 101,647.80, 152,267.58 and 57,207.96

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Solution

The fourth proportional to 101,647.80, 152,267.58 and 57,207.96 is: 85,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,647.80 : 152,267.58 = 57,207.96 : x
  2. Step 2: Convert to fraction form
    101,647.80/152,267.58 = 57,207.96/x
  3. Step 3: Cross multiply
    101,647.80x = 152,267.58 × 57,207.96
  4. Step 4: Simplify right side
    101,647.80x = 8,710,917,625.94
  5. Step 5: Solve for x
    x = 8,710,917,625.94/101,647.80
  6. Step 6: Final answer
    x = 85,697.06

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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.