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Finding the Fourth Proportional to 210,328.68, 290,251.38 and 114,835.08

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Solution

The fourth proportional to 210,328.68, 290,251.38 and 114,835.08 is: 158,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,328.68 : 290,251.38 = 114,835.08 : x
  2. Step 2: Convert to fraction form
    210,328.68/290,251.38 = 114,835.08/x
  3. Step 3: Cross multiply
    210,328.68x = 290,251.38 × 114,835.08
  4. Step 4: Simplify right side
    210,328.68x = 33,331,040,442.41
  5. Step 5: Solve for x
    x = 33,331,040,442.41/210,328.68
  6. Step 6: Final answer
    x = 158,471.21

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Why These Related Problems?

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