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Finding the Fourth Proportional to 149,771.76, 224,476.56 and 65,495.76

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Solution

The fourth proportional to 149,771.76, 224,476.56 and 65,495.76 is: 98,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,771.76 : 224,476.56 = 65,495.76 : x
  2. Step 2: Convert to fraction form
    149,771.76/224,476.56 = 65,495.76/x
  3. Step 3: Cross multiply
    149,771.76x = 224,476.56 × 65,495.76
  4. Step 4: Simplify right side
    149,771.76x = 14,702,262,899.39
  5. Step 5: Solve for x
    x = 14,702,262,899.39/149,771.76
  6. Step 6: Final answer
    x = 98,164.45

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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.