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Finding the Fourth Proportional to 188,597.37, 260,256.44 and 106,931.12

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Solution

The fourth proportional to 188,597.37, 260,256.44 and 106,931.12 is: 147,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,597.37 : 260,256.44 = 106,931.12 : x
  2. Step 2: Convert to fraction form
    188,597.37/260,256.44 = 106,931.12/x
  3. Step 3: Cross multiply
    188,597.37x = 260,256.44 × 106,931.12
  4. Step 4: Simplify right side
    188,597.37x = 27,829,511,582.46
  5. Step 5: Solve for x
    x = 27,829,511,582.46/188,597.37
  6. Step 6: Final answer
    x = 147,560.44

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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.