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Finding the Fourth Proportional to 201,362.16, 302,044.24 and 61,122

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Solution

The fourth proportional to 201,362.16, 302,044.24 and 61,122 is: 91,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,362.16 : 302,044.24 = 61,122 : x
  2. Step 2: Convert to fraction form
    201,362.16/302,044.24 = 61,122/x
  3. Step 3: Cross multiply
    201,362.16x = 302,044.24 × 61,122
  4. Step 4: Simplify right side
    201,362.16x = 18,461,548,037.28
  5. Step 5: Solve for x
    x = 18,461,548,037.28/201,362.16
  6. Step 6: Final answer
    x = 91,683.30

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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.