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Finding the Fourth Proportional to 113,907.34, 157,266.03 and 101,949.94

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Solution

The fourth proportional to 113,907.34, 157,266.03 and 101,949.94 is: 140,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,907.34 : 157,266.03 = 101,949.94 : x
  2. Step 2: Convert to fraction form
    113,907.34/157,266.03 = 101,949.94/x
  3. Step 3: Cross multiply
    113,907.34x = 157,266.03 × 101,949.94
  4. Step 4: Simplify right side
    113,907.34x = 16,033,262,322.54
  5. Step 5: Solve for x
    x = 16,033,262,322.54/113,907.34
  6. Step 6: Final answer
    x = 140,757.06

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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.