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Finding the Fourth Proportional to 230,100.40, 343,507.64 and 194,661.28

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Solution

The fourth proportional to 230,100.40, 343,507.64 and 194,661.28 is: 290,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,100.40 : 343,507.64 = 194,661.28 : x
  2. Step 2: Convert to fraction form
    230,100.40/343,507.64 = 194,661.28/x
  3. Step 3: Cross multiply
    230,100.40x = 343,507.64 × 194,661.28
  4. Step 4: Simplify right side
    230,100.40x = 66,867,636,892.18
  5. Step 5: Solve for x
    x = 66,867,636,892.18/230,100.40
  6. Step 6: Final answer
    x = 290,602.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.