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Finding the Fourth Proportional to 119,008.12, 178,509.22 and 29,051.48

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Solution

The fourth proportional to 119,008.12, 178,509.22 and 29,051.48 is: 43,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,008.12 : 178,509.22 = 29,051.48 : x
  2. Step 2: Convert to fraction form
    119,008.12/178,509.22 = 29,051.48/x
  3. Step 3: Cross multiply
    119,008.12x = 178,509.22 × 29,051.48
  4. Step 4: Simplify right side
    119,008.12x = 5,185,957,034.65
  5. Step 5: Solve for x
    x = 5,185,957,034.65/119,008.12
  6. Step 6: Final answer
    x = 43,576.50

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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.