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Finding the Fourth Proportional to 202,706.56, 279,742.94 and 134,606.11

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Solution

The fourth proportional to 202,706.56, 279,742.94 and 134,606.11 is: 185,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,706.56 : 279,742.94 = 134,606.11 : x
  2. Step 2: Convert to fraction form
    202,706.56/279,742.94 = 134,606.11/x
  3. Step 3: Cross multiply
    202,706.56x = 279,742.94 × 134,606.11
  4. Step 4: Simplify right side
    202,706.56x = 37,655,108,953.36
  5. Step 5: Solve for x
    x = 37,655,108,953.36/202,706.56
  6. Step 6: Final answer
    x = 185,761.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.