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Finding the Fourth Proportional to 109,326.70, 163,919.85 and 46,129.54

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Solution

The fourth proportional to 109,326.70, 163,919.85 and 46,129.54 is: 69,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,326.70 : 163,919.85 = 46,129.54 : x
  2. Step 2: Convert to fraction form
    109,326.70/163,919.85 = 46,129.54/x
  3. Step 3: Cross multiply
    109,326.70x = 163,919.85 × 46,129.54
  4. Step 4: Simplify right side
    109,326.70x = 7,561,547,277.37
  5. Step 5: Solve for x
    x = 7,561,547,277.37/109,326.70
  6. Step 6: Final answer
    x = 69,164.69

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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.