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Finding the Fourth Proportional to 358,641.44, 538,033.12 and 105,926.48

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Solution

The fourth proportional to 358,641.44, 538,033.12 and 105,926.48 is: 158,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,641.44 : 538,033.12 = 105,926.48 : x
  2. Step 2: Convert to fraction form
    358,641.44/538,033.12 = 105,926.48/x
  3. Step 3: Cross multiply
    358,641.44x = 538,033.12 × 105,926.48
  4. Step 4: Simplify right side
    358,641.44x = 56,991,954,525.02
  5. Step 5: Solve for x
    x = 56,991,954,525.02/358,641.44
  6. Step 6: Final answer
    x = 158,910.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.