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Finding the Fourth Proportional to 200,701.80, 301,052.70 and 105,895.35

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Solution

The fourth proportional to 200,701.80, 301,052.70 and 105,895.35 is: 158,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,701.80 : 301,052.70 = 105,895.35 : x
  2. Step 2: Convert to fraction form
    200,701.80/301,052.70 = 105,895.35/x
  3. Step 3: Cross multiply
    200,701.80x = 301,052.70 × 105,895.35
  4. Step 4: Simplify right side
    200,701.80x = 31,880,081,034.95
  5. Step 5: Solve for x
    x = 31,880,081,034.95/200,701.80
  6. Step 6: Final answer
    x = 158,843.03

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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.