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Finding the Fourth Proportional to 201,362.60, 302,080.32 and 82,968.08

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Solution

The fourth proportional to 201,362.60, 302,080.32 and 82,968.08 is: 124,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,362.60 : 302,080.32 = 82,968.08 : x
  2. Step 2: Convert to fraction form
    201,362.60/302,080.32 = 82,968.08/x
  3. Step 3: Cross multiply
    201,362.60x = 302,080.32 × 82,968.08
  4. Step 4: Simplify right side
    201,362.60x = 25,063,024,156.19
  5. Step 5: Solve for x
    x = 25,063,024,156.19/201,362.60
  6. Step 6: Final answer
    x = 124,467.13

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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.