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Finding the Fourth Proportional to 201,638.34, 302,457.51 and 61,396.97

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Solution

The fourth proportional to 201,638.34, 302,457.51 and 61,396.97 is: 92,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.34 : 302,457.51 = 61,396.97 : x
  2. Step 2: Convert to fraction form
    201,638.34/302,457.51 = 61,396.97/x
  3. Step 3: Cross multiply
    201,638.34x = 302,457.51 × 61,396.97
  4. Step 4: Simplify right side
    201,638.34x = 18,569,973,155.46
  5. Step 5: Solve for x
    x = 18,569,973,155.46/201,638.34
  6. Step 6: Final answer
    x = 92,095.45

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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.