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Finding the Fourth Proportional to 204,059, 306,106.14 and 56,315

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Solution

The fourth proportional to 204,059, 306,106.14 and 56,315 is: 84,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,059 : 306,106.14 = 56,315 : x
  2. Step 2: Convert to fraction form
    204,059/306,106.14 = 56,315/x
  3. Step 3: Cross multiply
    204,059x = 306,106.14 × 56,315
  4. Step 4: Simplify right side
    204,059x = 17,238,367,274.10
  5. Step 5: Solve for x
    x = 17,238,367,274.10/204,059
  6. Step 6: Final answer
    x = 84,477.37

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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.