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Finding the Fourth Proportional to 209,296.98, 288,828.41 and 113,803.74

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Solution

The fourth proportional to 209,296.98, 288,828.41 and 113,803.74 is: 157,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,296.98 : 288,828.41 = 113,803.74 : x
  2. Step 2: Convert to fraction form
    209,296.98/288,828.41 = 113,803.74/x
  3. Step 3: Cross multiply
    209,296.98x = 288,828.41 × 113,803.74
  4. Step 4: Simplify right side
    209,296.98x = 32,869,752,707.23
  5. Step 5: Solve for x
    x = 32,869,752,707.23/209,296.98
  6. Step 6: Final answer
    x = 157,048.39

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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.