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Finding the Fourth Proportional to 177,152.16, 265,682.84 and 52,464

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Solution

The fourth proportional to 177,152.16, 265,682.84 and 52,464 is: 78,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,152.16 : 265,682.84 = 52,464 : x
  2. Step 2: Convert to fraction form
    177,152.16/265,682.84 = 52,464/x
  3. Step 3: Cross multiply
    177,152.16x = 265,682.84 × 52,464
  4. Step 4: Simplify right side
    177,152.16x = 13,938,784,517.76
  5. Step 5: Solve for x
    x = 13,938,784,517.76/177,152.16
  6. Step 6: Final answer
    x = 78,682.55

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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.