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Finding the Fourth Proportional to 175,746, 263,564.48 and 63,411.60

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Solution

The fourth proportional to 175,746, 263,564.48 and 63,411.60 is: 95,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,746 : 263,564.48 = 63,411.60 : x
  2. Step 2: Convert to fraction form
    175,746/263,564.48 = 63,411.60/x
  3. Step 3: Cross multiply
    175,746x = 263,564.48 × 63,411.60
  4. Step 4: Simplify right side
    175,746x = 16,713,045,379.97
  5. Step 5: Solve for x
    x = 16,713,045,379.97/175,746
  6. Step 6: Final answer
    x = 95,097.73

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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.