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Finding the Fourth Proportional to 259,536, 358,160.16 and 140,304

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Solution

The fourth proportional to 259,536, 358,160.16 and 140,304 is: 193,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,536 : 358,160.16 = 140,304 : x
  2. Step 2: Convert to fraction form
    259,536/358,160.16 = 140,304/x
  3. Step 3: Cross multiply
    259,536x = 358,160.16 × 140,304
  4. Step 4: Simplify right side
    259,536x = 50,251,303,088.64
  5. Step 5: Solve for x
    x = 50,251,303,088.64/259,536
  6. Step 6: Final answer
    x = 193,619.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.