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Finding the Fourth Proportional to 270,529.74, 405,845.64 and 83,497.50

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Solution

The fourth proportional to 270,529.74, 405,845.64 and 83,497.50 is: 125,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,529.74 : 405,845.64 = 83,497.50 : x
  2. Step 2: Convert to fraction form
    270,529.74/405,845.64 = 83,497.50/x
  3. Step 3: Cross multiply
    270,529.74x = 405,845.64 × 83,497.50
  4. Step 4: Simplify right side
    270,529.74x = 33,887,096,325.90
  5. Step 5: Solve for x
    x = 33,887,096,325.90/270,529.74
  6. Step 6: Final answer
    x = 125,262.00

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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.