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Finding the Fourth Proportional to 210,183, 290,052.54 and 134,731.50

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Solution

The fourth proportional to 210,183, 290,052.54 and 134,731.50 is: 185,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,183 : 290,052.54 = 134,731.50 : x
  2. Step 2: Convert to fraction form
    210,183/290,052.54 = 134,731.50/x
  3. Step 3: Cross multiply
    210,183x = 290,052.54 × 134,731.50
  4. Step 4: Simplify right side
    210,183x = 39,079,213,793.01
  5. Step 5: Solve for x
    x = 39,079,213,793.01/210,183
  6. Step 6: Final answer
    x = 185,929.47

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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.