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Finding the Fourth Proportional to 97,897.42, 134,980.22 and 82,763.38

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Solution

The fourth proportional to 97,897.42, 134,980.22 and 82,763.38 is: 114,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,897.42 : 134,980.22 = 82,763.38 : x
  2. Step 2: Convert to fraction form
    97,897.42/134,980.22 = 82,763.38/x
  3. Step 3: Cross multiply
    97,897.42x = 134,980.22 × 82,763.38
  4. Step 4: Simplify right side
    97,897.42x = 11,171,419,240.34
  5. Step 5: Solve for x
    x = 11,171,419,240.34/97,897.42
  6. Step 6: Final answer
    x = 114,113.52

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1.5x scale

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.