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Finding the Fourth Proportional to 173,877.75, 260,816.64 and 49,218.75

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Solution

The fourth proportional to 173,877.75, 260,816.64 and 49,218.75 is: 73,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,877.75 : 260,816.64 = 49,218.75 : x
  2. Step 2: Convert to fraction form
    173,877.75/260,816.64 = 49,218.75/x
  3. Step 3: Cross multiply
    173,877.75x = 260,816.64 × 49,218.75
  4. Step 4: Simplify right side
    173,877.75x = 12,837,069,000
  5. Step 5: Solve for x
    x = 12,837,069,000/173,877.75
  6. Step 6: Final answer
    x = 73,828.13

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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.