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Finding the Fourth Proportional to 241,457.70, 362,186.55 and 208,215.30

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Solution

The fourth proportional to 241,457.70, 362,186.55 and 208,215.30 is: 312,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,457.70 : 362,186.55 = 208,215.30 : x
  2. Step 2: Convert to fraction form
    241,457.70/362,186.55 = 208,215.30/x
  3. Step 3: Cross multiply
    241,457.70x = 362,186.55 × 208,215.30
  4. Step 4: Simplify right side
    241,457.70x = 75,412,781,164.22
  5. Step 5: Solve for x
    x = 75,412,781,164.22/241,457.70
  6. Step 6: Final answer
    x = 312,322.95

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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.