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Finding the Fourth Proportional to 176,474.72, 264,683.64 and 64,150.40

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Solution

The fourth proportional to 176,474.72, 264,683.64 and 64,150.40 is: 96,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,474.72 : 264,683.64 = 64,150.40 : x
  2. Step 2: Convert to fraction form
    176,474.72/264,683.64 = 64,150.40/x
  3. Step 3: Cross multiply
    176,474.72x = 264,683.64 × 64,150.40
  4. Step 4: Simplify right side
    176,474.72x = 16,979,561,379.46
  5. Step 5: Solve for x
    x = 16,979,561,379.46/176,474.72
  6. Step 6: Final answer
    x = 96,215.26

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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.