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Finding the Fourth Proportional to 313,182, 469,542.96 and 99,827.08

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Solution

The fourth proportional to 313,182, 469,542.96 and 99,827.08 is: 149,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,182 : 469,542.96 = 99,827.08 : x
  2. Step 2: Convert to fraction form
    313,182/469,542.96 = 99,827.08/x
  3. Step 3: Cross multiply
    313,182x = 469,542.96 × 99,827.08
  4. Step 4: Simplify right side
    313,182x = 46,873,101,457.50
  5. Step 5: Solve for x
    x = 46,873,101,457.50/313,182
  6. Step 6: Final answer
    x = 149,667.29

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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.