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Finding the Fourth Proportional to 186,563.24, 257,440.98 and 103,761.38

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Solution

The fourth proportional to 186,563.24, 257,440.98 and 103,761.38 is: 143,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.24 : 257,440.98 = 103,761.38 : x
  2. Step 2: Convert to fraction form
    186,563.24/257,440.98 = 103,761.38/x
  3. Step 3: Cross multiply
    186,563.24x = 257,440.98 × 103,761.38
  4. Step 4: Simplify right side
    186,563.24x = 26,712,431,353.35
  5. Step 5: Solve for x
    x = 26,712,431,353.35/186,563.24
  6. Step 6: Final answer
    x = 143,181.64

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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.