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Finding the Fourth Proportional to 211,472.31, 291,835.53 and 115,978.17

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Solution

The fourth proportional to 211,472.31, 291,835.53 and 115,978.17 is: 160,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,472.31 : 291,835.53 = 115,978.17 : x
  2. Step 2: Convert to fraction form
    211,472.31/291,835.53 = 115,978.17/x
  3. Step 3: Cross multiply
    211,472.31x = 291,835.53 × 115,978.17
  4. Step 4: Simplify right side
    211,472.31x = 33,846,550,710.38
  5. Step 5: Solve for x
    x = 33,846,550,710.38/211,472.31
  6. Step 6: Final answer
    x = 160,051.93

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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.