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Finding the Fourth Proportional to 132,873, 183,364.76 and 73,257

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Solution

The fourth proportional to 132,873, 183,364.76 and 73,257 is: 101,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,873 : 183,364.76 = 73,257 : x
  2. Step 2: Convert to fraction form
    132,873/183,364.76 = 73,257/x
  3. Step 3: Cross multiply
    132,873x = 183,364.76 × 73,257
  4. Step 4: Simplify right side
    132,873x = 13,432,752,223.32
  5. Step 5: Solve for x
    x = 13,432,752,223.32/132,873
  6. Step 6: Final answer
    x = 101,094.67

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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.