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Finding the Fourth Proportional to 176,500.64, 264,225.84 and 106,166.72

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Solution

The fourth proportional to 176,500.64, 264,225.84 and 106,166.72 is: 158,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,500.64 : 264,225.84 = 106,166.72 : x
  2. Step 2: Convert to fraction form
    176,500.64/264,225.84 = 106,166.72/x
  3. Step 3: Cross multiply
    176,500.64x = 264,225.84 × 106,166.72
  4. Step 4: Simplify right side
    176,500.64x = 28,051,990,772.04
  5. Step 5: Solve for x
    x = 28,051,990,772.04/176,500.64
  6. Step 6: Final answer
    x = 158,934.22

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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.