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Finding the Fourth Proportional to 186,325.98, 257,121.27 and 101,442.78

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Solution

The fourth proportional to 186,325.98, 257,121.27 and 101,442.78 is: 139,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,325.98 : 257,121.27 = 101,442.78 : x
  2. Step 2: Convert to fraction form
    186,325.98/257,121.27 = 101,442.78/x
  3. Step 3: Cross multiply
    186,325.98x = 257,121.27 × 101,442.78
  4. Step 4: Simplify right side
    186,325.98x = 26,083,096,425.93
  5. Step 5: Solve for x
    x = 26,083,096,425.93/186,325.98
  6. Step 6: Final answer
    x = 139,986.36

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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.