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Finding the Fourth Proportional to 268,748.40, 370,864.94 and 147,889.64

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Solution

The fourth proportional to 268,748.40, 370,864.94 and 147,889.64 is: 204,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,748.40 : 370,864.94 = 147,889.64 : x
  2. Step 2: Convert to fraction form
    268,748.40/370,864.94 = 147,889.64/x
  3. Step 3: Cross multiply
    268,748.40x = 370,864.94 × 147,889.64
  4. Step 4: Simplify right side
    268,748.40x = 54,847,082,465.22
  5. Step 5: Solve for x
    x = 54,847,082,465.22/268,748.40
  6. Step 6: Final answer
    x = 204,083.38

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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.