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Finding the Fourth Proportional to 149,696.82, 224,615.27 and 65,446.06

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Solution

The fourth proportional to 149,696.82, 224,615.27 and 65,446.06 is: 98,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,696.82 : 224,615.27 = 65,446.06 : x
  2. Step 2: Convert to fraction form
    149,696.82/224,615.27 = 65,446.06/x
  3. Step 3: Cross multiply
    149,696.82x = 224,615.27 × 65,446.06
  4. Step 4: Simplify right side
    149,696.82x = 14,700,184,437.34
  5. Step 5: Solve for x
    x = 14,700,184,437.34/149,696.82
  6. Step 6: Final answer
    x = 98,199.71

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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.