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Finding the Fourth Proportional to 182,630, 273,945.10 and 57,971

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Solution

The fourth proportional to 182,630, 273,945.10 and 57,971 is: 86,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,630 : 273,945.10 = 57,971 : x
  2. Step 2: Convert to fraction form
    182,630/273,945.10 = 57,971/x
  3. Step 3: Cross multiply
    182,630x = 273,945.10 × 57,971
  4. Step 4: Simplify right side
    182,630x = 15,880,871,392.10
  5. Step 5: Solve for x
    x = 15,880,871,392.10/182,630
  6. Step 6: Final answer
    x = 86,956.53

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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.