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Finding the Fourth Proportional to 210,583.80, 316,028.04 and 82,519.20

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Solution

The fourth proportional to 210,583.80, 316,028.04 and 82,519.20 is: 123,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,583.80 : 316,028.04 = 82,519.20 : x
  2. Step 2: Convert to fraction form
    210,583.80/316,028.04 = 82,519.20/x
  3. Step 3: Cross multiply
    210,583.80x = 316,028.04 × 82,519.20
  4. Step 4: Simplify right side
    210,583.80x = 26,078,381,038.37
  5. Step 5: Solve for x
    x = 26,078,381,038.37/210,583.80
  6. Step 6: Final answer
    x = 123,838.50

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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.