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Finding the Fourth Proportional to 213,310.84, 294,343.76 and 117,811.84

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Solution

The fourth proportional to 213,310.84, 294,343.76 and 117,811.84 is: 162,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,310.84 : 294,343.76 = 117,811.84 : x
  2. Step 2: Convert to fraction form
    213,310.84/294,343.76 = 117,811.84/x
  3. Step 3: Cross multiply
    213,310.84x = 294,343.76 × 117,811.84
  4. Step 4: Simplify right side
    213,310.84x = 34,677,179,958.12
  5. Step 5: Solve for x
    x = 34,677,179,958.12/213,310.84
  6. Step 6: Final answer
    x = 162,566.42

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1.5x scale

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.