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Finding the Fourth Proportional to 209,497.50, 314,253.27 and 83,161.26

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Solution

The fourth proportional to 209,497.50, 314,253.27 and 83,161.26 is: 124,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,497.50 : 314,253.27 = 83,161.26 : x
  2. Step 2: Convert to fraction form
    209,497.50/314,253.27 = 83,161.26/x
  3. Step 3: Cross multiply
    209,497.50x = 314,253.27 × 83,161.26
  4. Step 4: Simplify right side
    209,497.50x = 26,133,697,892.32
  5. Step 5: Solve for x
    x = 26,133,697,892.32/209,497.50
  6. Step 6: Final answer
    x = 124,744.68

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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.