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Finding the Fourth Proportional to 201,459.72, 302,200.37 and 51,701.30

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Solution

The fourth proportional to 201,459.72, 302,200.37 and 51,701.30 is: 77,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,459.72 : 302,200.37 = 51,701.30 : x
  2. Step 2: Convert to fraction form
    201,459.72/302,200.37 = 51,701.30/x
  3. Step 3: Cross multiply
    201,459.72x = 302,200.37 × 51,701.30
  4. Step 4: Simplify right side
    201,459.72x = 15,624,153,246.98
  5. Step 5: Solve for x
    x = 15,624,153,246.98/201,459.72
  6. Step 6: Final answer
    x = 77,554.72

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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.