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Finding the Fourth Proportional to 219,426.72, 302,807.52 and 118,824

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Solution

The fourth proportional to 219,426.72, 302,807.52 and 118,824 is: 163,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,426.72 : 302,807.52 = 118,824 : x
  2. Step 2: Convert to fraction form
    219,426.72/302,807.52 = 118,824/x
  3. Step 3: Cross multiply
    219,426.72x = 302,807.52 × 118,824
  4. Step 4: Simplify right side
    219,426.72x = 35,980,800,756.48
  5. Step 5: Solve for x
    x = 35,980,800,756.48/219,426.72
  6. Step 6: Final answer
    x = 163,976.39

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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.