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Finding the Fourth Proportional to 217,312, 299,891.64 and 126,730.78

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Solution

The fourth proportional to 217,312, 299,891.64 and 126,730.78 is: 174,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,312 : 299,891.64 = 126,730.78 : x
  2. Step 2: Convert to fraction form
    217,312/299,891.64 = 126,730.78/x
  3. Step 3: Cross multiply
    217,312x = 299,891.64 × 126,730.78
  4. Step 4: Simplify right side
    217,312x = 38,005,501,452.68
  5. Step 5: Solve for x
    x = 38,005,501,452.68/217,312
  6. Step 6: Final answer
    x = 174,889.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.