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Finding the Fourth Proportional to 219,395.81, 302,766.23 and 118,793.81

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Solution

The fourth proportional to 219,395.81, 302,766.23 and 118,793.81 is: 163,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,395.81 : 302,766.23 = 118,793.81 : x
  2. Step 2: Convert to fraction form
    219,395.81/302,766.23 = 118,793.81/x
  3. Step 3: Cross multiply
    219,395.81x = 302,766.23 × 118,793.81
  4. Step 4: Simplify right side
    219,395.81x = 35,966,755,054.94
  5. Step 5: Solve for x
    x = 35,966,755,054.94/219,395.81
  6. Step 6: Final answer
    x = 163,935.47

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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.