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Finding the Fourth Proportional to 219,309.50, 302,647.11 and 118,707.50

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Solution

The fourth proportional to 219,309.50, 302,647.11 and 118,707.50 is: 163,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,309.50 : 302,647.11 = 118,707.50 : x
  2. Step 2: Convert to fraction form
    219,309.50/302,647.11 = 118,707.50/x
  3. Step 3: Cross multiply
    219,309.50x = 302,647.11 × 118,707.50
  4. Step 4: Simplify right side
    219,309.50x = 35,926,481,810.33
  5. Step 5: Solve for x
    x = 35,926,481,810.33/219,309.50
  6. Step 6: Final answer
    x = 163,816.35

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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.