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Finding the Fourth Proportional to 145,704.69, 201,076.16 and 82,044.63

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Solution

The fourth proportional to 145,704.69, 201,076.16 and 82,044.63 is: 113,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,704.69 : 201,076.16 = 82,044.63 : x
  2. Step 2: Convert to fraction form
    145,704.69/201,076.16 = 82,044.63/x
  3. Step 3: Cross multiply
    145,704.69x = 201,076.16 × 82,044.63
  4. Step 4: Simplify right side
    145,704.69x = 16,497,219,149.02
  5. Step 5: Solve for x
    x = 16,497,219,149.02/145,704.69
  6. Step 6: Final answer
    x = 113,223.67

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1.5x scale

Why These Related Problems?

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