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Finding the Fourth Proportional to 116,249, 174,375.12 and 33,143

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Solution

The fourth proportional to 116,249, 174,375.12 and 33,143 is: 49,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,249 : 174,375.12 = 33,143 : x
  2. Step 2: Convert to fraction form
    116,249/174,375.12 = 33,143/x
  3. Step 3: Cross multiply
    116,249x = 174,375.12 × 33,143
  4. Step 4: Simplify right side
    116,249x = 5,779,314,602.16
  5. Step 5: Solve for x
    x = 5,779,314,602.16/116,249
  6. Step 6: Final answer
    x = 49,714.96

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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.