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Finding the Fourth Proportional to 101,582.40, 152,114.40 and 80,846.40

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Solution

The fourth proportional to 101,582.40, 152,114.40 and 80,846.40 is: 121,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,582.40 : 152,114.40 = 80,846.40 : x
  2. Step 2: Convert to fraction form
    101,582.40/152,114.40 = 80,846.40/x
  3. Step 3: Cross multiply
    101,582.40x = 152,114.40 × 80,846.40
  4. Step 4: Simplify right side
    101,582.40x = 12,297,901,628.16
  5. Step 5: Solve for x
    x = 12,297,901,628.16/101,582.40
  6. Step 6: Final answer
    x = 121,063.31

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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.