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Finding the Fourth Proportional to 209,715.40, 313,881.90 and 162,713.80

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Solution

The fourth proportional to 209,715.40, 313,881.90 and 162,713.80 is: 243,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.40 : 313,881.90 = 162,713.80 : x
  2. Step 2: Convert to fraction form
    209,715.40/313,881.90 = 162,713.80/x
  3. Step 3: Cross multiply
    209,715.40x = 313,881.90 × 162,713.80
  4. Step 4: Simplify right side
    209,715.40x = 51,072,916,700.22
  5. Step 5: Solve for x
    x = 51,072,916,700.22/209,715.40
  6. Step 6: Final answer
    x = 243,534.41

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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.