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Finding the Fourth Proportional to 201,152.52, 301,477.23 and 101,337.84

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Solution

The fourth proportional to 201,152.52, 301,477.23 and 101,337.84 is: 151,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152.52 : 301,477.23 = 101,337.84 : x
  2. Step 2: Convert to fraction form
    201,152.52/301,477.23 = 101,337.84/x
  3. Step 3: Cross multiply
    201,152.52x = 301,477.23 × 101,337.84
  4. Step 4: Simplify right side
    201,152.52x = 30,551,051,297.38
  5. Step 5: Solve for x
    x = 30,551,051,297.38/201,152.52
  6. Step 6: Final answer
    x = 151,880.03

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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.