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Finding the Fourth Proportional to 177,415.20, 265,354.80 and 158,829.60

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Solution

The fourth proportional to 177,415.20, 265,354.80 and 158,829.60 is: 237,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,415.20 : 265,354.80 = 158,829.60 : x
  2. Step 2: Convert to fraction form
    177,415.20/265,354.80 = 158,829.60/x
  3. Step 3: Cross multiply
    177,415.20x = 265,354.80 × 158,829.60
  4. Step 4: Simplify right side
    177,415.20x = 42,146,196,742.08
  5. Step 5: Solve for x
    x = 42,146,196,742.08/177,415.20
  6. Step 6: Final answer
    x = 237,556.85

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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.