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Finding the Fourth Proportional to 177,156.52, 265,735.74 and 52,498.60

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Solution

The fourth proportional to 177,156.52, 265,735.74 and 52,498.60 is: 78,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,156.52 : 265,735.74 = 52,498.60 : x
  2. Step 2: Convert to fraction form
    177,156.52/265,735.74 = 52,498.60/x
  3. Step 3: Cross multiply
    177,156.52x = 265,735.74 × 52,498.60
  4. Step 4: Simplify right side
    177,156.52x = 13,950,754,319.96
  5. Step 5: Solve for x
    x = 13,950,754,319.96/177,156.52
  6. Step 6: Final answer
    x = 78,748.18

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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.