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Finding the Fourth Proportional to 193,513.40, 290,270.10 and 146,274.20

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Solution

The fourth proportional to 193,513.40, 290,270.10 and 146,274.20 is: 219,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513.40 : 290,270.10 = 146,274.20 : x
  2. Step 2: Convert to fraction form
    193,513.40/290,270.10 = 146,274.20/x
  3. Step 3: Cross multiply
    193,513.40x = 290,270.10 × 146,274.20
  4. Step 4: Simplify right side
    193,513.40x = 42,459,026,661.42
  5. Step 5: Solve for x
    x = 42,459,026,661.42/193,513.40
  6. Step 6: Final answer
    x = 219,411.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.