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Finding the Fourth Proportional to 178,382.54, 267,547.86 and 51,988.85

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Solution

The fourth proportional to 178,382.54, 267,547.86 and 51,988.85 is: 77,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,382.54 : 267,547.86 = 51,988.85 : x
  2. Step 2: Convert to fraction form
    178,382.54/267,547.86 = 51,988.85/x
  3. Step 3: Cross multiply
    178,382.54x = 267,547.86 × 51,988.85
  4. Step 4: Simplify right side
    178,382.54x = 13,909,505,431.39
  5. Step 5: Solve for x
    x = 13,909,505,431.39/178,382.54
  6. Step 6: Final answer
    x = 77,975.71

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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.