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Finding the Fourth Proportional to 186,856.50, 257,862.76 and 101,975.38

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Solution

The fourth proportional to 186,856.50, 257,862.76 and 101,975.38 is: 140,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,856.50 : 257,862.76 = 101,975.38 : x
  2. Step 2: Convert to fraction form
    186,856.50/257,862.76 = 101,975.38/x
  3. Step 3: Cross multiply
    186,856.50x = 257,862.76 × 101,975.38
  4. Step 4: Simplify right side
    186,856.50x = 26,295,652,938.85
  5. Step 5: Solve for x
    x = 26,295,652,938.85/186,856.50
  6. Step 6: Final answer
    x = 140,726.46

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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.