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Finding the Fourth Proportional to 201,824.60, 302,712.60 and 83,483.60

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Solution

The fourth proportional to 201,824.60, 302,712.60 and 83,483.60 is: 125,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824.60 : 302,712.60 = 83,483.60 : x
  2. Step 2: Convert to fraction form
    201,824.60/302,712.60 = 83,483.60/x
  3. Step 3: Cross multiply
    201,824.60x = 302,712.60 × 83,483.60
  4. Step 4: Simplify right side
    201,824.60x = 25,271,537,613.36
  5. Step 5: Solve for x
    x = 25,271,537,613.36/201,824.60
  6. Step 6: Final answer
    x = 125,215.35

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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.