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Finding the Fourth Proportional to 241,810.71, 362,616.52 and 105,042.57

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Solution

The fourth proportional to 241,810.71, 362,616.52 and 105,042.57 is: 157,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,810.71 : 362,616.52 = 105,042.57 : x
  2. Step 2: Convert to fraction form
    241,810.71/362,616.52 = 105,042.57/x
  3. Step 3: Cross multiply
    241,810.71x = 362,616.52 × 105,042.57
  4. Step 4: Simplify right side
    241,810.71x = 38,090,171,185.26
  5. Step 5: Solve for x
    x = 38,090,171,185.26/241,810.71
  6. Step 6: Final answer
    x = 157,520.61

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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.