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Finding the Fourth Proportional to 210,137.19, 289,987.91 and 119,493.16

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Solution

The fourth proportional to 210,137.19, 289,987.91 and 119,493.16 is: 164,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,137.19 : 289,987.91 = 119,493.16 : x
  2. Step 2: Convert to fraction form
    210,137.19/289,987.91 = 119,493.16/x
  3. Step 3: Cross multiply
    210,137.19x = 289,987.91 × 119,493.16
  4. Step 4: Simplify right side
    210,137.19x = 34,651,571,727.70
  5. Step 5: Solve for x
    x = 34,651,571,727.70/210,137.19
  6. Step 6: Final answer
    x = 164,899.76

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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.