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Finding the Fourth Proportional to 167,523, 231,181.74 and 92,071.50

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Solution

The fourth proportional to 167,523, 231,181.74 and 92,071.50 is: 127,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,523 : 231,181.74 = 92,071.50 : x
  2. Step 2: Convert to fraction form
    167,523/231,181.74 = 92,071.50/x
  3. Step 3: Cross multiply
    167,523x = 231,181.74 × 92,071.50
  4. Step 4: Simplify right side
    167,523x = 21,285,249,574.41
  5. Step 5: Solve for x
    x = 21,285,249,574.41/167,523
  6. Step 6: Final answer
    x = 127,058.67

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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.