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Finding the Fourth Proportional to 341,995.65, 513,019.25 and 102,090.61

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Solution

The fourth proportional to 341,995.65, 513,019.25 and 102,090.61 is: 153,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,995.65 : 513,019.25 = 102,090.61 : x
  2. Step 2: Convert to fraction form
    341,995.65/513,019.25 = 102,090.61/x
  3. Step 3: Cross multiply
    341,995.65x = 513,019.25 × 102,090.61
  4. Step 4: Simplify right side
    341,995.65x = 52,374,448,174.24
  5. Step 5: Solve for x
    x = 52,374,448,174.24/341,995.65
  6. Step 6: Final answer
    x = 153,143.61

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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.