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Finding the Fourth Proportional to 177,264, 265,896 and 52,605

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Solution

The fourth proportional to 177,264, 265,896 and 52,605 is: 78,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,264 : 265,896 = 52,605 : x
  2. Step 2: Convert to fraction form
    177,264/265,896 = 52,605/x
  3. Step 3: Cross multiply
    177,264x = 265,896 × 52,605
  4. Step 4: Simplify right side
    177,264x = 13,987,459,080
  5. Step 5: Solve for x
    x = 13,987,459,080/177,264
  6. Step 6: Final answer
    x = 78,907.50

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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.