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Finding the Fourth Proportional to 238,418, 328,870.92 and 141,556.14

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Solution

The fourth proportional to 238,418, 328,870.92 and 141,556.14 is: 195,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,418 : 328,870.92 = 141,556.14 : x
  2. Step 2: Convert to fraction form
    238,418/328,870.92 = 141,556.14/x
  3. Step 3: Cross multiply
    238,418x = 328,870.92 × 141,556.14
  4. Step 4: Simplify right side
    238,418x = 46,553,697,993.45
  5. Step 5: Solve for x
    x = 46,553,697,993.45/238,418
  6. Step 6: Final answer
    x = 195,260.84

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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.