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Finding the Fourth Proportional to 145,838.50, 201,235.26 and 82,174.93

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Solution

The fourth proportional to 145,838.50, 201,235.26 and 82,174.93 is: 113,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.50 : 201,235.26 = 82,174.93 : x
  2. Step 2: Convert to fraction form
    145,838.50/201,235.26 = 82,174.93/x
  3. Step 3: Cross multiply
    145,838.50x = 201,235.26 × 82,174.93
  4. Step 4: Simplify right side
    145,838.50x = 16,536,493,404.03
  5. Step 5: Solve for x
    x = 16,536,493,404.03/145,838.50
  6. Step 6: Final answer
    x = 113,389.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.