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Finding the Fourth Proportional to 186,639.96, 257,404.50 and 157,710

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Solution

The fourth proportional to 186,639.96, 257,404.50 and 157,710 is: 217,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,639.96 : 257,404.50 = 157,710 : x
  2. Step 2: Convert to fraction form
    186,639.96/257,404.50 = 157,710/x
  3. Step 3: Cross multiply
    186,639.96x = 257,404.50 × 157,710
  4. Step 4: Simplify right side
    186,639.96x = 40,595,263,695
  5. Step 5: Solve for x
    x = 40,595,263,695/186,639.96
  6. Step 6: Final answer
    x = 217,505.75

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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.