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Finding the Fourth Proportional to 103,026.40, 154,366.80 and 50,322.40

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Solution

The fourth proportional to 103,026.40, 154,366.80 and 50,322.40 is: 75,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,026.40 : 154,366.80 = 50,322.40 : x
  2. Step 2: Convert to fraction form
    103,026.40/154,366.80 = 50,322.40/x
  3. Step 3: Cross multiply
    103,026.40x = 154,366.80 × 50,322.40
  4. Step 4: Simplify right side
    103,026.40x = 7,768,107,856.32
  5. Step 5: Solve for x
    x = 7,768,107,856.32/103,026.40
  6. Step 6: Final answer
    x = 75,399.20

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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.