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Finding the Fourth Proportional to 186,467.81, 257,344.16 and 113,866.70

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Solution

The fourth proportional to 186,467.81, 257,344.16 and 113,866.70 is: 157,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,467.81 : 257,344.16 = 113,866.70 : x
  2. Step 2: Convert to fraction form
    186,467.81/257,344.16 = 113,866.70/x
  3. Step 3: Cross multiply
    186,467.81x = 257,344.16 × 113,866.70
  4. Step 4: Simplify right side
    186,467.81x = 29,302,928,407.42
  5. Step 5: Solve for x
    x = 29,302,928,407.42/186,467.81
  6. Step 6: Final answer
    x = 157,147.39

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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.