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Finding the Fourth Proportional to 201,362, 302,043.96 and 53,618

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Solution

The fourth proportional to 201,362, 302,043.96 and 53,618 is: 80,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,362 : 302,043.96 = 53,618 : x
  2. Step 2: Convert to fraction form
    201,362/302,043.96 = 53,618/x
  3. Step 3: Cross multiply
    201,362x = 302,043.96 × 53,618
  4. Step 4: Simplify right side
    201,362x = 16,194,993,047.28
  5. Step 5: Solve for x
    x = 16,194,993,047.28/201,362
  6. Step 6: Final answer
    x = 80,427.26

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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.