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Finding the Fourth Proportional to 103,259.30, 154,826.54 and 46,322.78

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Solution

The fourth proportional to 103,259.30, 154,826.54 and 46,322.78 is: 69,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,259.30 : 154,826.54 = 46,322.78 : x
  2. Step 2: Convert to fraction form
    103,259.30/154,826.54 = 46,322.78/x
  3. Step 3: Cross multiply
    103,259.30x = 154,826.54 × 46,322.78
  4. Step 4: Simplify right side
    103,259.30x = 7,171,995,750.58
  5. Step 5: Solve for x
    x = 7,171,995,750.58/103,259.30
  6. Step 6: Final answer
    x = 69,456.17

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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.