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Finding the Fourth Proportional to 194,148.56, 291,103.92 and 75,681.50

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Solution

The fourth proportional to 194,148.56, 291,103.92 and 75,681.50 is: 113,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,148.56 : 291,103.92 = 75,681.50 : x
  2. Step 2: Convert to fraction form
    194,148.56/291,103.92 = 75,681.50/x
  3. Step 3: Cross multiply
    194,148.56x = 291,103.92 × 75,681.50
  4. Step 4: Simplify right side
    194,148.56x = 22,031,180,943.07
  5. Step 5: Solve for x
    x = 22,031,180,943.07/194,148.56
  6. Step 6: Final answer
    x = 113,475.89

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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.