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Finding the Fourth Proportional to 299,668.04, 413,536.70 and 163,698.50

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Solution

The fourth proportional to 299,668.04, 413,536.70 and 163,698.50 is: 225,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,668.04 : 413,536.70 = 163,698.50 : x
  2. Step 2: Convert to fraction form
    299,668.04/413,536.70 = 163,698.50/x
  3. Step 3: Cross multiply
    299,668.04x = 413,536.70 × 163,698.50
  4. Step 4: Simplify right side
    299,668.04x = 67,695,335,417.27
  5. Step 5: Solve for x
    x = 67,695,335,417.27/299,668.04
  6. Step 6: Final answer
    x = 225,901.09

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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.