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Finding the Fourth Proportional to 210,966.22, 316,383.27 and 61,216.86

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Solution

The fourth proportional to 210,966.22, 316,383.27 and 61,216.86 is: 91,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,966.22 : 316,383.27 = 61,216.86 : x
  2. Step 2: Convert to fraction form
    210,966.22/316,383.27 = 61,216.86/x
  3. Step 3: Cross multiply
    210,966.22x = 316,383.27 × 61,216.86
  4. Step 4: Simplify right side
    210,966.22x = 19,367,991,302.81
  5. Step 5: Solve for x
    x = 19,367,991,302.81/210,966.22
  6. Step 6: Final answer
    x = 91,806.13

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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.