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Finding the Fourth Proportional to 109,479.52, 164,004.80 and 97,578.08

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Solution

The fourth proportional to 109,479.52, 164,004.80 and 97,578.08 is: 146,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,479.52 : 164,004.80 = 97,578.08 : x
  2. Step 2: Convert to fraction form
    109,479.52/164,004.80 = 97,578.08/x
  3. Step 3: Cross multiply
    109,479.52x = 164,004.80 × 97,578.08
  4. Step 4: Simplify right side
    109,479.52x = 16,003,273,494.78
  5. Step 5: Solve for x
    x = 16,003,273,494.78/109,479.52
  6. Step 6: Final answer
    x = 146,175.96

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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.