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Finding the Fourth Proportional to 186,466.50, 257,314.77 and 105,883.38

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Solution

The fourth proportional to 186,466.50, 257,314.77 and 105,883.38 is: 146,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,466.50 : 257,314.77 = 105,883.38 : x
  2. Step 2: Convert to fraction form
    186,466.50/257,314.77 = 105,883.38/x
  3. Step 3: Cross multiply
    186,466.50x = 257,314.77 × 105,883.38
  4. Step 4: Simplify right side
    186,466.50x = 27,245,357,571.52
  5. Step 5: Solve for x
    x = 27,245,357,571.52/186,466.50
  6. Step 6: Final answer
    x = 146,113.95

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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.