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Finding the Fourth Proportional to 241,478.58, 362,070.19 and 115,157.46

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Solution

The fourth proportional to 241,478.58, 362,070.19 and 115,157.46 is: 172,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,478.58 : 362,070.19 = 115,157.46 : x
  2. Step 2: Convert to fraction form
    241,478.58/362,070.19 = 115,157.46/x
  3. Step 3: Cross multiply
    241,478.58x = 362,070.19 × 115,157.46
  4. Step 4: Simplify right side
    241,478.58x = 41,695,084,276.07
  5. Step 5: Solve for x
    x = 41,695,084,276.07/241,478.58
  6. Step 6: Final answer
    x = 172,665.76

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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.