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Finding the Fourth Proportional to 103,024.80, 154,342.80 and 96,026.40

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Solution

The fourth proportional to 103,024.80, 154,342.80 and 96,026.40 is: 143,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,024.80 : 154,342.80 = 96,026.40 : x
  2. Step 2: Convert to fraction form
    103,024.80/154,342.80 = 96,026.40/x
  3. Step 3: Cross multiply
    103,024.80x = 154,342.80 × 96,026.40
  4. Step 4: Simplify right side
    103,024.80x = 14,820,983,449.92
  5. Step 5: Solve for x
    x = 14,820,983,449.92/103,024.80
  6. Step 6: Final answer
    x = 143,858.41

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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.