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Finding the Fourth Proportional to 209,984.30, 289,802.93 and 119,353.88

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Solution

The fourth proportional to 209,984.30, 289,802.93 and 119,353.88 is: 164,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,984.30 : 289,802.93 = 119,353.88 : x
  2. Step 2: Convert to fraction form
    209,984.30/289,802.93 = 119,353.88/x
  3. Step 3: Cross multiply
    209,984.30x = 289,802.93 × 119,353.88
  4. Step 4: Simplify right side
    209,984.30x = 34,589,102,085.08
  5. Step 5: Solve for x
    x = 34,589,102,085.08/209,984.30
  6. Step 6: Final answer
    x = 164,722.33

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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.