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Finding the Fourth Proportional to 103,097.80, 154,695.30 and 76,853.80

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Solution

The fourth proportional to 103,097.80, 154,695.30 and 76,853.80 is: 115,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097.80 : 154,695.30 = 76,853.80 : x
  2. Step 2: Convert to fraction form
    103,097.80/154,695.30 = 76,853.80/x
  3. Step 3: Cross multiply
    103,097.80x = 154,695.30 × 76,853.80
  4. Step 4: Simplify right side
    103,097.80x = 11,888,921,647.14
  5. Step 5: Solve for x
    x = 11,888,921,647.14/103,097.80
  6. Step 6: Final answer
    x = 115,316.93

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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.