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Finding the Fourth Proportional to 176,840, 265,267.32 and 52,181

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Solution

The fourth proportional to 176,840, 265,267.32 and 52,181 is: 78,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,840 : 265,267.32 = 52,181 : x
  2. Step 2: Convert to fraction form
    176,840/265,267.32 = 52,181/x
  3. Step 3: Cross multiply
    176,840x = 265,267.32 × 52,181
  4. Step 4: Simplify right side
    176,840x = 13,841,914,024.92
  5. Step 5: Solve for x
    x = 13,841,914,024.92/176,840
  6. Step 6: Final answer
    x = 78,273.66

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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.