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Finding the Fourth Proportional to 182,285.60, 273,428.40 and 102,241.40

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Solution

The fourth proportional to 182,285.60, 273,428.40 and 102,241.40 is: 153,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,285.60 : 273,428.40 = 102,241.40 : x
  2. Step 2: Convert to fraction form
    182,285.60/273,428.40 = 102,241.40/x
  3. Step 3: Cross multiply
    182,285.60x = 273,428.40 × 102,241.40
  4. Step 4: Simplify right side
    182,285.60x = 27,955,702,415.76
  5. Step 5: Solve for x
    x = 27,955,702,415.76/182,285.60
  6. Step 6: Final answer
    x = 153,362.10

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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.