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Finding the Fourth Proportional to 211,668.84, 292,103.01 and 126,835.02

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Solution

The fourth proportional to 211,668.84, 292,103.01 and 126,835.02 is: 175,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,668.84 : 292,103.01 = 126,835.02 : x
  2. Step 2: Convert to fraction form
    211,668.84/292,103.01 = 126,835.02/x
  3. Step 3: Cross multiply
    211,668.84x = 292,103.01 × 126,835.02
  4. Step 4: Simplify right side
    211,668.84x = 37,048,891,115.41
  5. Step 5: Solve for x
    x = 37,048,891,115.41/211,668.84
  6. Step 6: Final answer
    x = 175,032.33

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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.