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Finding the Fourth Proportional to 178,382.45, 267,048.80 and 119,071.01

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Solution

The fourth proportional to 178,382.45, 267,048.80 and 119,071.01 is: 178,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,382.45 : 267,048.80 = 119,071.01 : x
  2. Step 2: Convert to fraction form
    178,382.45/267,048.80 = 119,071.01/x
  3. Step 3: Cross multiply
    178,382.45x = 267,048.80 × 119,071.01
  4. Step 4: Simplify right side
    178,382.45x = 31,797,770,854.07
  5. Step 5: Solve for x
    x = 31,797,770,854.07/178,382.45
  6. Step 6: Final answer
    x = 178,256.16

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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.