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Finding the Fourth Proportional to 172,382.50, 258,661.23 and 78,911.74

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Solution

The fourth proportional to 172,382.50, 258,661.23 and 78,911.74 is: 118,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,382.50 : 258,661.23 = 78,911.74 : x
  2. Step 2: Convert to fraction form
    172,382.50/258,661.23 = 78,911.74/x
  3. Step 3: Cross multiply
    172,382.50x = 258,661.23 × 78,911.74
  4. Step 4: Simplify right side
    172,382.50x = 20,411,407,729.84
  5. Step 5: Solve for x
    x = 20,411,407,729.84/172,382.50
  6. Step 6: Final answer
    x = 118,407.66

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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.