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Finding the Fourth Proportional to 194,973.90, 292,206 and 141,119.94

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Solution

The fourth proportional to 194,973.90, 292,206 and 141,119.94 is: 211,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,973.90 : 292,206 = 141,119.94 : x
  2. Step 2: Convert to fraction form
    194,973.90/292,206 = 141,119.94/x
  3. Step 3: Cross multiply
    194,973.90x = 292,206 × 141,119.94
  4. Step 4: Simplify right side
    194,973.90x = 41,236,093,187.64
  5. Step 5: Solve for x
    x = 41,236,093,187.64/194,973.90
  6. Step 6: Final answer
    x = 211,495.45

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