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Finding the Fourth Proportional to 191,004.82, 263,680.14 and 119,407.93

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Solution

The fourth proportional to 191,004.82, 263,680.14 and 119,407.93 is: 164,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,004.82 : 263,680.14 = 119,407.93 : x
  2. Step 2: Convert to fraction form
    191,004.82/263,680.14 = 119,407.93/x
  3. Step 3: Cross multiply
    191,004.82x = 263,680.14 × 119,407.93
  4. Step 4: Simplify right side
    191,004.82x = 31,485,499,699.51
  5. Step 5: Solve for x
    x = 31,485,499,699.51/191,004.82
  6. Step 6: Final answer
    x = 164,841.39

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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.