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Finding the Fourth Proportional to 201,665.60, 302,595.60 and 142,373.60

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Solution

The fourth proportional to 201,665.60, 302,595.60 and 142,373.60 is: 213,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.60 : 302,595.60 = 142,373.60 : x
  2. Step 2: Convert to fraction form
    201,665.60/302,595.60 = 142,373.60/x
  3. Step 3: Cross multiply
    201,665.60x = 302,595.60 × 142,373.60
  4. Step 4: Simplify right side
    201,665.60x = 43,081,624,916.16
  5. Step 5: Solve for x
    x = 43,081,624,916.16/201,665.60
  6. Step 6: Final answer
    x = 213,629.02

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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.