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Finding the Fourth Proportional to 174,288.29, 261,405.09 and 47,938.01

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Solution

The fourth proportional to 174,288.29, 261,405.09 and 47,938.01 is: 71,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,288.29 : 261,405.09 = 47,938.01 : x
  2. Step 2: Convert to fraction form
    174,288.29/261,405.09 = 47,938.01/x
  3. Step 3: Cross multiply
    174,288.29x = 261,405.09 × 47,938.01
  4. Step 4: Simplify right side
    174,288.29x = 12,531,239,818.47
  5. Step 5: Solve for x
    x = 12,531,239,818.47/174,288.29
  6. Step 6: Final answer
    x = 71,899.49

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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.