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Finding the Fourth Proportional to 341,998.74, 513,053.24 and 105,341.31

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Solution

The fourth proportional to 341,998.74, 513,053.24 and 105,341.31 is: 158,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,998.74 : 513,053.24 = 105,341.31 : x
  2. Step 2: Convert to fraction form
    341,998.74/513,053.24 = 105,341.31/x
  3. Step 3: Cross multiply
    341,998.74x = 513,053.24 × 105,341.31
  4. Step 4: Simplify right side
    341,998.74x = 54,045,699,874.64
  5. Step 5: Solve for x
    x = 54,045,699,874.64/341,998.74
  6. Step 6: Final answer
    x = 158,028.94

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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.