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Finding the Fourth Proportional to 278,415, 384,212.97 and 151,090.62

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Solution

The fourth proportional to 278,415, 384,212.97 and 151,090.62 is: 208,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,415 : 384,212.97 = 151,090.62 : x
  2. Step 2: Convert to fraction form
    278,415/384,212.97 = 151,090.62/x
  3. Step 3: Cross multiply
    278,415x = 384,212.97 × 151,090.62
  4. Step 4: Simplify right side
    278,415x = 58,050,975,849.34
  5. Step 5: Solve for x
    x = 58,050,975,849.34/278,415
  6. Step 6: Final answer
    x = 208,505.20

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