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Finding the Fourth Proportional to 176,561.22, 264,758.88 and 64,162.20

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Solution

The fourth proportional to 176,561.22, 264,758.88 and 64,162.20 is: 96,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,561.22 : 264,758.88 = 64,162.20 : x
  2. Step 2: Convert to fraction form
    176,561.22/264,758.88 = 64,162.20/x
  3. Step 3: Cross multiply
    176,561.22x = 264,758.88 × 64,162.20
  4. Step 4: Simplify right side
    176,561.22x = 16,987,512,210.34
  5. Step 5: Solve for x
    x = 16,987,512,210.34/176,561.22
  6. Step 6: Final answer
    x = 96,213.16

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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.