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Finding the Fourth Proportional to 273,065, 409,666.64 and 76,073

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Solution

The fourth proportional to 273,065, 409,666.64 and 76,073 is: 114,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,065 : 409,666.64 = 76,073 : x
  2. Step 2: Convert to fraction form
    273,065/409,666.64 = 76,073/x
  3. Step 3: Cross multiply
    273,065x = 409,666.64 × 76,073
  4. Step 4: Simplify right side
    273,065x = 31,164,570,304.72
  5. Step 5: Solve for x
    x = 31,164,570,304.72/273,065
  6. Step 6: Final answer
    x = 114,128.76

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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.