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Finding the Fourth Proportional to 177,223.30, 265,026.86 and 132,276.36

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Solution

The fourth proportional to 177,223.30, 265,026.86 and 132,276.36 is: 197,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,223.30 : 265,026.86 = 132,276.36 : x
  2. Step 2: Convert to fraction form
    177,223.30/265,026.86 = 132,276.36/x
  3. Step 3: Cross multiply
    177,223.30x = 265,026.86 × 132,276.36
  4. Step 4: Simplify right side
    177,223.30x = 35,056,788,343.03
  5. Step 5: Solve for x
    x = 35,056,788,343.03/177,223.30
  6. Step 6: Final answer
    x = 197,811.40

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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.