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Finding the Fourth Proportional to 241,767, 362,663.46 and 75,567.96

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Solution

The fourth proportional to 241,767, 362,663.46 and 75,567.96 is: 113,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,767 : 362,663.46 = 75,567.96 : x
  2. Step 2: Convert to fraction form
    241,767/362,663.46 = 75,567.96/x
  3. Step 3: Cross multiply
    241,767x = 362,663.46 × 75,567.96
  4. Step 4: Simplify right side
    241,767x = 27,405,737,838.74
  5. Step 5: Solve for x
    x = 27,405,737,838.74/241,767
  6. Step 6: Final answer
    x = 113,355.99

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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.