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Finding the Fourth Proportional to 206,599.70, 310,081.80 and 122,254.40

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Solution

The fourth proportional to 206,599.70, 310,081.80 and 122,254.40 is: 183,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.70 : 310,081.80 = 122,254.40 : x
  2. Step 2: Convert to fraction form
    206,599.70/310,081.80 = 122,254.40/x
  3. Step 3: Cross multiply
    206,599.70x = 310,081.80 × 122,254.40
  4. Step 4: Simplify right side
    206,599.70x = 37,908,864,409.92
  5. Step 5: Solve for x
    x = 37,908,864,409.92/206,599.70
  6. Step 6: Final answer
    x = 183,489.45

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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.