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Finding the Fourth Proportional to 176,434.56, 264,656.70 and 43,314.30

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Solution

The fourth proportional to 176,434.56, 264,656.70 and 43,314.30 is: 64,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,434.56 : 264,656.70 = 43,314.30 : x
  2. Step 2: Convert to fraction form
    176,434.56/264,656.70 = 43,314.30/x
  3. Step 3: Cross multiply
    176,434.56x = 264,656.70 × 43,314.30
  4. Step 4: Simplify right side
    176,434.56x = 11,463,419,700.81
  5. Step 5: Solve for x
    x = 11,463,419,700.81/176,434.56
  6. Step 6: Final answer
    x = 64,972.64

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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.