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Finding the Fourth Proportional to 171,963, 237,308.94 and 96,511.50

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Solution

The fourth proportional to 171,963, 237,308.94 and 96,511.50 is: 133,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,963 : 237,308.94 = 96,511.50 : x
  2. Step 2: Convert to fraction form
    171,963/237,308.94 = 96,511.50/x
  3. Step 3: Cross multiply
    171,963x = 237,308.94 × 96,511.50
  4. Step 4: Simplify right side
    171,963x = 22,903,041,762.81
  5. Step 5: Solve for x
    x = 22,903,041,762.81/171,963
  6. Step 6: Final answer
    x = 133,185.87

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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.