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Finding the Fourth Proportional to 191,421.76, 285,731.12 and 177,544.48

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Solution

The fourth proportional to 191,421.76, 285,731.12 and 177,544.48 is: 265,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,421.76 : 285,731.12 = 177,544.48 : x
  2. Step 2: Convert to fraction form
    191,421.76/285,731.12 = 177,544.48/x
  3. Step 3: Cross multiply
    191,421.76x = 285,731.12 × 177,544.48
  4. Step 4: Simplify right side
    191,421.76x = 50,729,983,120.22
  5. Step 5: Solve for x
    x = 50,729,983,120.22/191,421.76
  6. Step 6: Final answer
    x = 265,016.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.