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Finding the Fourth Proportional to 210,037.66, 289,869.24 and 119,422.18

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Solution

The fourth proportional to 210,037.66, 289,869.24 and 119,422.18 is: 164,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037.66 : 289,869.24 = 119,422.18 : x
  2. Step 2: Convert to fraction form
    210,037.66/289,869.24 = 119,422.18/x
  3. Step 3: Cross multiply
    210,037.66x = 289,869.24 × 119,422.18
  4. Step 4: Simplify right side
    210,037.66x = 34,616,816,555.74
  5. Step 5: Solve for x
    x = 34,616,816,555.74/210,037.66
  6. Step 6: Final answer
    x = 164,812.43

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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.