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Finding the Fourth Proportional to 211,174.38, 291,420.99 and 115,678.98

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Solution

The fourth proportional to 211,174.38, 291,420.99 and 115,678.98 is: 159,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,174.38 : 291,420.99 = 115,678.98 : x
  2. Step 2: Convert to fraction form
    211,174.38/291,420.99 = 115,678.98/x
  3. Step 3: Cross multiply
    211,174.38x = 291,420.99 × 115,678.98
  4. Step 4: Simplify right side
    211,174.38x = 33,711,282,873.79
  5. Step 5: Solve for x
    x = 33,711,282,873.79/211,174.38
  6. Step 6: Final answer
    x = 159,637.18

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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.