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Finding the Fourth Proportional to 186,026.25, 279,039.39 and 54,698.25

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Solution

The fourth proportional to 186,026.25, 279,039.39 and 54,698.25 is: 82,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,026.25 : 279,039.39 = 54,698.25 : x
  2. Step 2: Convert to fraction form
    186,026.25/279,039.39 = 54,698.25/x
  3. Step 3: Cross multiply
    186,026.25x = 279,039.39 × 54,698.25
  4. Step 4: Simplify right side
    186,026.25x = 15,262,966,314.07
  5. Step 5: Solve for x
    x = 15,262,966,314.07/186,026.25
  6. Step 6: Final answer
    x = 82,047.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.