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Finding the Fourth Proportional to 177,152.52, 265,729.74 and 52,494.60

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Solution

The fourth proportional to 177,152.52, 265,729.74 and 52,494.60 is: 78,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,152.52 : 265,729.74 = 52,494.60 : x
  2. Step 2: Convert to fraction form
    177,152.52/265,729.74 = 52,494.60/x
  3. Step 3: Cross multiply
    177,152.52x = 265,729.74 × 52,494.60
  4. Step 4: Simplify right side
    177,152.52x = 13,949,376,409.40
  5. Step 5: Solve for x
    x = 13,949,376,409.40/177,152.52
  6. Step 6: Final answer
    x = 78,742.18

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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.