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Finding the Fourth Proportional to 209,264.64, 313,871.84 and 76,059.87

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Solution

The fourth proportional to 209,264.64, 313,871.84 and 76,059.87 is: 114,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,264.64 : 313,871.84 = 76,059.87 : x
  2. Step 2: Convert to fraction form
    209,264.64/313,871.84 = 76,059.87/x
  3. Step 3: Cross multiply
    209,264.64x = 313,871.84 × 76,059.87
  4. Step 4: Simplify right side
    209,264.64x = 23,873,051,347.06
  5. Step 5: Solve for x
    x = 23,873,051,347.06/209,264.64
  6. Step 6: Final answer
    x = 114,080.67

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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.