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Finding the Fourth Proportional to 177,223.08, 265,834.62 and 52,563

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Solution

The fourth proportional to 177,223.08, 265,834.62 and 52,563 is: 78,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,223.08 : 265,834.62 = 52,563 : x
  2. Step 2: Convert to fraction form
    177,223.08/265,834.62 = 52,563/x
  3. Step 3: Cross multiply
    177,223.08x = 265,834.62 × 52,563
  4. Step 4: Simplify right side
    177,223.08x = 13,973,065,131.06
  5. Step 5: Solve for x
    x = 13,973,065,131.06/177,223.08
  6. Step 6: Final answer
    x = 78,844.50

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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.