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Finding the Fourth Proportional to 226,021.16, 311,913.16 and 124,056.16

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Solution

The fourth proportional to 226,021.16, 311,913.16 and 124,056.16 is: 171,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,021.16 : 311,913.16 = 124,056.16 : x
  2. Step 2: Convert to fraction form
    226,021.16/311,913.16 = 124,056.16/x
  3. Step 3: Cross multiply
    226,021.16x = 311,913.16 × 124,056.16
  4. Step 4: Simplify right side
    226,021.16x = 38,694,748,883.07
  5. Step 5: Solve for x
    x = 38,694,748,883.07/226,021.16
  6. Step 6: Final answer
    x = 171,199.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.