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Finding the Fourth Proportional to 194,148.81, 291,104.29 and 75,681.75

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Solution

The fourth proportional to 194,148.81, 291,104.29 and 75,681.75 is: 113,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,148.81 : 291,104.29 = 75,681.75 : x
  2. Step 2: Convert to fraction form
    194,148.81/291,104.29 = 75,681.75/x
  3. Step 3: Cross multiply
    194,148.81x = 291,104.29 × 75,681.75
  4. Step 4: Simplify right side
    194,148.81x = 22,031,281,910.50
  5. Step 5: Solve for x
    x = 22,031,281,910.50/194,148.81
  6. Step 6: Final answer
    x = 113,476.27

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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.