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Finding the Fourth Proportional to 210,234.76, 290,121.70 and 114,740.68

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Solution

The fourth proportional to 210,234.76, 290,121.70 and 114,740.68 is: 158,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,234.76 : 290,121.70 = 114,740.68 : x
  2. Step 2: Convert to fraction form
    210,234.76/290,121.70 = 114,740.68/x
  3. Step 3: Cross multiply
    210,234.76x = 290,121.70 × 114,740.68
  4. Step 4: Simplify right side
    210,234.76x = 33,288,761,140.76
  5. Step 5: Solve for x
    x = 33,288,761,140.76/210,234.76
  6. Step 6: Final answer
    x = 158,340.90

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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.