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Finding the Fourth Proportional to 176,498.64, 264,222.84 and 106,164.72

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Solution

The fourth proportional to 176,498.64, 264,222.84 and 106,164.72 is: 158,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,498.64 : 264,222.84 = 106,164.72 : x
  2. Step 2: Convert to fraction form
    176,498.64/264,222.84 = 106,164.72/x
  3. Step 3: Cross multiply
    176,498.64x = 264,222.84 × 106,164.72
  4. Step 4: Simplify right side
    176,498.64x = 28,051,143,826.20
  5. Step 5: Solve for x
    x = 28,051,143,826.20/176,498.64
  6. Step 6: Final answer
    x = 158,931.22

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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.