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Finding the Fourth Proportional to 210,083.42, 289,915.07 and 114,590.09

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Solution

The fourth proportional to 210,083.42, 289,915.07 and 114,590.09 is: 158,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,083.42 : 289,915.07 = 114,590.09 : x
  2. Step 2: Convert to fraction form
    210,083.42/289,915.07 = 114,590.09/x
  3. Step 3: Cross multiply
    210,083.42x = 289,915.07 × 114,590.09
  4. Step 4: Simplify right side
    210,083.42x = 33,221,394,115.49
  5. Step 5: Solve for x
    x = 33,221,394,115.49/210,083.42
  6. Step 6: Final answer
    x = 158,134.30

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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.