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Finding the Fourth Proportional to 228,309.56, 342,466.64 and 101,956.23

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Solution

The fourth proportional to 228,309.56, 342,466.64 and 101,956.23 is: 152,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,309.56 : 342,466.64 = 101,956.23 : x
  2. Step 2: Convert to fraction form
    228,309.56/342,466.64 = 101,956.23/x
  3. Step 3: Cross multiply
    228,309.56x = 342,466.64 × 101,956.23
  4. Step 4: Simplify right side
    228,309.56x = 34,916,607,005.39
  5. Step 5: Solve for x
    x = 34,916,607,005.39/228,309.56
  6. Step 6: Final answer
    x = 152,935.37

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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.