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Finding the Fourth Proportional to 134,225, 201,337.50 and 35,729

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Solution

The fourth proportional to 134,225, 201,337.50 and 35,729 is: 53,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,225 : 201,337.50 = 35,729 : x
  2. Step 2: Convert to fraction form
    134,225/201,337.50 = 35,729/x
  3. Step 3: Cross multiply
    134,225x = 201,337.50 × 35,729
  4. Step 4: Simplify right side
    134,225x = 7,193,587,537.50
  5. Step 5: Solve for x
    x = 7,193,587,537.50/134,225
  6. Step 6: Final answer
    x = 53,593.50

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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.