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Finding the Fourth Proportional to 194,853.50, 292,280.52 and 47,109.50

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Solution

The fourth proportional to 194,853.50, 292,280.52 and 47,109.50 is: 70,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853.50 : 292,280.52 = 47,109.50 : x
  2. Step 2: Convert to fraction form
    194,853.50/292,280.52 = 47,109.50/x
  3. Step 3: Cross multiply
    194,853.50x = 292,280.52 × 47,109.50
  4. Step 4: Simplify right side
    194,853.50x = 13,769,189,156.94
  5. Step 5: Solve for x
    x = 13,769,189,156.94/194,853.50
  6. Step 6: Final answer
    x = 70,664.32

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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.