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Finding the Fourth Proportional to 238,106.97, 357,215 and 103,193.68

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Solution

The fourth proportional to 238,106.97, 357,215 and 103,193.68 is: 154,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,106.97 : 357,215 = 103,193.68 : x
  2. Step 2: Convert to fraction form
    238,106.97/357,215 = 103,193.68/x
  3. Step 3: Cross multiply
    238,106.97x = 357,215 × 103,193.68
  4. Step 4: Simplify right side
    238,106.97x = 36,862,330,401.20
  5. Step 5: Solve for x
    x = 36,862,330,401.20/238,106.97
  6. Step 6: Final answer
    x = 154,814.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.