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Finding the Fourth Proportional to 102,925.65, 154,388.48 and 96,013.65

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Solution

The fourth proportional to 102,925.65, 154,388.48 and 96,013.65 is: 144,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,925.65 : 154,388.48 = 96,013.65 : x
  2. Step 2: Convert to fraction form
    102,925.65/154,388.48 = 96,013.65/x
  3. Step 3: Cross multiply
    102,925.65x = 154,388.48 × 96,013.65
  4. Step 4: Simplify right side
    102,925.65x = 14,823,401,002.68
  5. Step 5: Solve for x
    x = 14,823,401,002.68/102,925.65
  6. Step 6: Final answer
    x = 144,020.48

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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.