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Finding the Fourth Proportional to 145,219.60, 217,537.80 and 82,817.20

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Solution

The fourth proportional to 145,219.60, 217,537.80 and 82,817.20 is: 124,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,219.60 : 217,537.80 = 82,817.20 : x
  2. Step 2: Convert to fraction form
    145,219.60/217,537.80 = 82,817.20/x
  3. Step 3: Cross multiply
    145,219.60x = 217,537.80 × 82,817.20
  4. Step 4: Simplify right side
    145,219.60x = 18,015,871,490.16
  5. Step 5: Solve for x
    x = 18,015,871,490.16/145,219.60
  6. Step 6: Final answer
    x = 124,059.50

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Why These Related Problems?

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