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Finding the Fourth Proportional to 145,412.10, 217,849.35 and 82,896.90

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Solution

The fourth proportional to 145,412.10, 217,849.35 and 82,896.90 is: 124,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412.10 : 217,849.35 = 82,896.90 : x
  2. Step 2: Convert to fraction form
    145,412.10/217,849.35 = 82,896.90/x
  3. Step 3: Cross multiply
    145,412.10x = 217,849.35 × 82,896.90
  4. Step 4: Simplify right side
    145,412.10x = 18,059,035,782.02
  5. Step 5: Solve for x
    x = 18,059,035,782.02/145,412.10
  6. Step 6: Final answer
    x = 124,192.11

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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.