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Finding the Fourth Proportional to 267,208, 368,739.76 and 152,484.56

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Solution

The fourth proportional to 267,208, 368,739.76 and 152,484.56 is: 210,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,208 : 368,739.76 = 152,484.56 : x
  2. Step 2: Convert to fraction form
    267,208/368,739.76 = 152,484.56/x
  3. Step 3: Cross multiply
    267,208x = 368,739.76 × 152,484.56
  4. Step 4: Simplify right side
    267,208x = 56,227,120,058.11
  5. Step 5: Solve for x
    x = 56,227,120,058.11/267,208
  6. Step 6: Final answer
    x = 210,424.54

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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.