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Finding the Fourth Proportional to 201,529.98, 301,835.43 and 96,423.30

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Solution

The fourth proportional to 201,529.98, 301,835.43 and 96,423.30 is: 144,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,529.98 : 301,835.43 = 96,423.30 : x
  2. Step 2: Convert to fraction form
    201,529.98/301,835.43 = 96,423.30/x
  3. Step 3: Cross multiply
    201,529.98x = 301,835.43 × 96,423.30
  4. Step 4: Simplify right side
    201,529.98x = 29,103,968,217.52
  5. Step 5: Solve for x
    x = 29,103,968,217.52/201,529.98
  6. Step 6: Final answer
    x = 144,415.08

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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.