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Finding the Fourth Proportional to 209,518.84, 289,136.01 and 114,023.44

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Solution

The fourth proportional to 209,518.84, 289,136.01 and 114,023.44 is: 157,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.84 : 289,136.01 = 114,023.44 : x
  2. Step 2: Convert to fraction form
    209,518.84/289,136.01 = 114,023.44/x
  3. Step 3: Cross multiply
    209,518.84x = 289,136.01 × 114,023.44
  4. Step 4: Simplify right side
    209,518.84x = 32,968,282,488.07
  5. Step 5: Solve for x
    x = 32,968,282,488.07/209,518.84
  6. Step 6: Final answer
    x = 157,352.35

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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.