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Finding the Fourth Proportional to 343,873.12, 515,142.24 and 193,655.20

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Solution

The fourth proportional to 343,873.12, 515,142.24 and 193,655.20 is: 290,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,873.12 : 515,142.24 = 193,655.20 : x
  2. Step 2: Convert to fraction form
    343,873.12/515,142.24 = 193,655.20/x
  3. Step 3: Cross multiply
    343,873.12x = 515,142.24 × 193,655.20
  4. Step 4: Simplify right side
    343,873.12x = 99,759,973,515.65
  5. Step 5: Solve for x
    x = 99,759,973,515.65/343,873.12
  6. Step 6: Final answer
    x = 290,106.93

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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.