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Finding the Fourth Proportional to 211,269.22, 316,904.56 and 53,497.60

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Solution

The fourth proportional to 211,269.22, 316,904.56 and 53,497.60 is: 80,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,269.22 : 316,904.56 = 53,497.60 : x
  2. Step 2: Convert to fraction form
    211,269.22/316,904.56 = 53,497.60/x
  3. Step 3: Cross multiply
    211,269.22x = 316,904.56 × 53,497.60
  4. Step 4: Simplify right side
    211,269.22x = 16,953,633,389.06
  5. Step 5: Solve for x
    x = 16,953,633,389.06/211,269.22
  6. Step 6: Final answer
    x = 80,246.58

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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.