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Finding the Fourth Proportional to 230,246, 345,353.16 and 141,513.20

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Solution

The fourth proportional to 230,246, 345,353.16 and 141,513.20 is: 212,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,246 : 345,353.16 = 141,513.20 : x
  2. Step 2: Convert to fraction form
    230,246/345,353.16 = 141,513.20/x
  3. Step 3: Cross multiply
    230,246x = 345,353.16 × 141,513.20
  4. Step 4: Simplify right side
    230,246x = 48,872,030,801.71
  5. Step 5: Solve for x
    x = 48,872,030,801.71/230,246
  6. Step 6: Final answer
    x = 212,260.06

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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.