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Finding the Fourth Proportional to 210,021.30, 289,829.88 and 119,377.85

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Solution

The fourth proportional to 210,021.30, 289,829.88 and 119,377.85 is: 164,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,021.30 : 289,829.88 = 119,377.85 : x
  2. Step 2: Convert to fraction form
    210,021.30/289,829.88 = 119,377.85/x
  3. Step 3: Cross multiply
    210,021.30x = 289,829.88 × 119,377.85
  4. Step 4: Simplify right side
    210,021.30x = 34,599,266,491.01
  5. Step 5: Solve for x
    x = 34,599,266,491.01/210,021.30
  6. Step 6: Final answer
    x = 164,741.70

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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.