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Finding the Fourth Proportional to 201,629.70, 302,314.95 and 83,348.10

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Solution

The fourth proportional to 201,629.70, 302,314.95 and 83,348.10 is: 124,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629.70 : 302,314.95 = 83,348.10 : x
  2. Step 2: Convert to fraction form
    201,629.70/302,314.95 = 83,348.10/x
  3. Step 3: Cross multiply
    201,629.70x = 302,314.95 × 83,348.10
  4. Step 4: Simplify right side
    201,629.70x = 25,197,376,684.10
  5. Step 5: Solve for x
    x = 25,197,376,684.10/201,629.70
  6. Step 6: Final answer
    x = 124,968.58

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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.