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Finding the Fourth Proportional to 177,134.64, 265,662.84 and 52,433.52

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Solution

The fourth proportional to 177,134.64, 265,662.84 and 52,433.52 is: 78,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,134.64 : 265,662.84 = 52,433.52 : x
  2. Step 2: Convert to fraction form
    177,134.64/265,662.84 = 52,433.52/x
  3. Step 3: Cross multiply
    177,134.64x = 265,662.84 × 52,433.52
  4. Step 4: Simplify right side
    177,134.64x = 13,929,637,834.40
  5. Step 5: Solve for x
    x = 13,929,637,834.40/177,134.64
  6. Step 6: Final answer
    x = 78,638.70

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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.