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Finding the Fourth Proportional to 291,874.95, 402,741.09 and 164,525.94

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Solution

The fourth proportional to 291,874.95, 402,741.09 and 164,525.94 is: 227,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,874.95 : 402,741.09 = 164,525.94 : x
  2. Step 2: Convert to fraction form
    291,874.95/402,741.09 = 164,525.94/x
  3. Step 3: Cross multiply
    291,874.95x = 402,741.09 × 164,525.94
  4. Step 4: Simplify right side
    291,874.95x = 66,261,356,408.87
  5. Step 5: Solve for x
    x = 66,261,356,408.87/291,874.95
  6. Step 6: Final answer
    x = 227,019.68

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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.