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Finding the Fourth Proportional to 157,488, 217,271.38 and 96,953.46

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Solution

The fourth proportional to 157,488, 217,271.38 and 96,953.46 is: 133,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,488 : 217,271.38 = 96,953.46 : x
  2. Step 2: Convert to fraction form
    157,488/217,271.38 = 96,953.46/x
  3. Step 3: Cross multiply
    157,488x = 217,271.38 × 96,953.46
  4. Step 4: Simplify right side
    157,488x = 21,065,212,049.97
  5. Step 5: Solve for x
    x = 21,065,212,049.97/157,488
  6. Step 6: Final answer
    x = 133,757.57

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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.