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Finding the Fourth Proportional to 308,835.16, 426,188.46 and 174,699.16

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Solution

The fourth proportional to 308,835.16, 426,188.46 and 174,699.16 is: 241,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,835.16 : 426,188.46 = 174,699.16 : x
  2. Step 2: Convert to fraction form
    308,835.16/426,188.46 = 174,699.16/x
  3. Step 3: Cross multiply
    308,835.16x = 426,188.46 × 174,699.16
  4. Step 4: Simplify right side
    308,835.16x = 74,454,765,963.69
  5. Step 5: Solve for x
    x = 74,454,765,963.69/308,835.16
  6. Step 6: Final answer
    x = 241,082.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.