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Finding the Fourth Proportional to 164,502.08, 246,182.88 and 101,294

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Solution

The fourth proportional to 164,502.08, 246,182.88 and 101,294 is: 151,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,502.08 : 246,182.88 = 101,294 : x
  2. Step 2: Convert to fraction form
    164,502.08/246,182.88 = 101,294/x
  3. Step 3: Cross multiply
    164,502.08x = 246,182.88 × 101,294
  4. Step 4: Simplify right side
    164,502.08x = 24,936,848,646.72
  5. Step 5: Solve for x
    x = 24,936,848,646.72/164,502.08
  6. Step 6: Final answer
    x = 151,589.87

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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.