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Finding the Fourth Proportional to 186,838.50, 257,842.60 and 101,961.03

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Solution

The fourth proportional to 186,838.50, 257,842.60 and 101,961.03 is: 140,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,838.50 : 257,842.60 = 101,961.03 : x
  2. Step 2: Convert to fraction form
    186,838.50/257,842.60 = 101,961.03/x
  3. Step 3: Cross multiply
    186,838.50x = 257,842.60 × 101,961.03
  4. Step 4: Simplify right side
    186,838.50x = 26,289,896,818.98
  5. Step 5: Solve for x
    x = 26,289,896,818.98/186,838.50
  6. Step 6: Final answer
    x = 140,709.21

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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.