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Finding the Fourth Proportional to 178,274.12, 245,999.02 and 101,786

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Solution

The fourth proportional to 178,274.12, 245,999.02 and 101,786 is: 140,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,274.12 : 245,999.02 = 101,786 : x
  2. Step 2: Convert to fraction form
    178,274.12/245,999.02 = 101,786/x
  3. Step 3: Cross multiply
    178,274.12x = 245,999.02 × 101,786
  4. Step 4: Simplify right side
    178,274.12x = 25,039,256,249.72
  5. Step 5: Solve for x
    x = 25,039,256,249.72/178,274.12
  6. Step 6: Final answer
    x = 140,453.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.