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Finding the Fourth Proportional to 210,453.90, 290,432.61 and 114,962.16

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Solution

The fourth proportional to 210,453.90, 290,432.61 and 114,962.16 is: 158,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,453.90 : 290,432.61 = 114,962.16 : x
  2. Step 2: Convert to fraction form
    210,453.90/290,432.61 = 114,962.16/x
  3. Step 3: Cross multiply
    210,453.90x = 290,432.61 × 114,962.16
  4. Step 4: Simplify right side
    210,453.90x = 33,388,760,180.04
  5. Step 5: Solve for x
    x = 33,388,760,180.04/210,453.90
  6. Step 6: Final answer
    x = 158,651.18

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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.