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Finding the Fourth Proportional to 194,076.63, 290,881.67 and 105,326.55

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Solution

The fourth proportional to 194,076.63, 290,881.67 and 105,326.55 is: 157,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,076.63 : 290,881.67 = 105,326.55 : x
  2. Step 2: Convert to fraction form
    194,076.63/290,881.67 = 105,326.55/x
  3. Step 3: Cross multiply
    194,076.63x = 290,881.67 × 105,326.55
  4. Step 4: Simplify right side
    194,076.63x = 30,637,562,232.71
  5. Step 5: Solve for x
    x = 30,637,562,232.71/194,076.63
  6. Step 6: Final answer
    x = 157,863.22

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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.