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Finding the Fourth Proportional to 241,948, 333,888.24 and 135,964

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Solution

The fourth proportional to 241,948, 333,888.24 and 135,964 is: 187,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,948 : 333,888.24 = 135,964 : x
  2. Step 2: Convert to fraction form
    241,948/333,888.24 = 135,964/x
  3. Step 3: Cross multiply
    241,948x = 333,888.24 × 135,964
  4. Step 4: Simplify right side
    241,948x = 45,396,780,663.36
  5. Step 5: Solve for x
    x = 45,396,780,663.36/241,948
  6. Step 6: Final answer
    x = 187,630.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.