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Finding the Fourth Proportional to 175,100.68, 262,656.78 and 56,773

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Solution

The fourth proportional to 175,100.68, 262,656.78 and 56,773 is: 85,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,100.68 : 262,656.78 = 56,773 : x
  2. Step 2: Convert to fraction form
    175,100.68/262,656.78 = 56,773/x
  3. Step 3: Cross multiply
    175,100.68x = 262,656.78 × 56,773
  4. Step 4: Simplify right side
    175,100.68x = 14,911,813,370.94
  5. Step 5: Solve for x
    x = 14,911,813,370.94/175,100.68
  6. Step 6: Final answer
    x = 85,161.37

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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.