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Finding the Fourth Proportional to 210,464.49, 290,348.74 and 128,796.68

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Solution

The fourth proportional to 210,464.49, 290,348.74 and 128,796.68 is: 177,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,464.49 : 290,348.74 = 128,796.68 : x
  2. Step 2: Convert to fraction form
    210,464.49/290,348.74 = 128,796.68/x
  3. Step 3: Cross multiply
    210,464.49x = 290,348.74 × 128,796.68
  4. Step 4: Simplify right side
    210,464.49x = 37,395,953,916.57
  5. Step 5: Solve for x
    x = 37,395,953,916.57/210,464.49
  6. Step 6: Final answer
    x = 177,682.96

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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.