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Finding the Fourth Proportional to 207,284.76, 311,014.62 and 102,104.64

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Solution

The fourth proportional to 207,284.76, 311,014.62 and 102,104.64 is: 153,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,284.76 : 311,014.62 = 102,104.64 : x
  2. Step 2: Convert to fraction form
    207,284.76/311,014.62 = 102,104.64/x
  3. Step 3: Cross multiply
    207,284.76x = 311,014.62 × 102,104.64
  4. Step 4: Simplify right side
    207,284.76x = 31,756,035,809.84
  5. Step 5: Solve for x
    x = 31,756,035,809.84/207,284.76
  6. Step 6: Final answer
    x = 153,200.05

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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.