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Finding the Fourth Proportional to 186,454.36, 257,287.71 and 104,769.64

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Solution

The fourth proportional to 186,454.36, 257,287.71 and 104,769.64 is: 144,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,454.36 : 257,287.71 = 104,769.64 : x
  2. Step 2: Convert to fraction form
    186,454.36/257,287.71 = 104,769.64/x
  3. Step 3: Cross multiply
    186,454.36x = 257,287.71 × 104,769.64
  4. Step 4: Simplify right side
    186,454.36x = 26,955,939,466.69
  5. Step 5: Solve for x
    x = 26,955,939,466.69/186,454.36
  6. Step 6: Final answer
    x = 144,571.25

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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.