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Finding the Fourth Proportional to 209,722.66, 314,272.94 and 154,046.50

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Solution

The fourth proportional to 209,722.66, 314,272.94 and 154,046.50 is: 230,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,722.66 : 314,272.94 = 154,046.50 : x
  2. Step 2: Convert to fraction form
    209,722.66/314,272.94 = 154,046.50/x
  3. Step 3: Cross multiply
    209,722.66x = 314,272.94 × 154,046.50
  4. Step 4: Simplify right side
    209,722.66x = 48,412,646,451.71
  5. Step 5: Solve for x
    x = 48,412,646,451.71/209,722.66
  6. Step 6: Final answer
    x = 230,841.28

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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.