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Finding the Fourth Proportional to 177,316.42, 265,880.64 and 77,359.84

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Solution

The fourth proportional to 177,316.42, 265,880.64 and 77,359.84 is: 115,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,316.42 : 265,880.64 = 77,359.84 : x
  2. Step 2: Convert to fraction form
    177,316.42/265,880.64 = 77,359.84/x
  3. Step 3: Cross multiply
    177,316.42x = 265,880.64 × 77,359.84
  4. Step 4: Simplify right side
    177,316.42x = 20,568,482,053.30
  5. Step 5: Solve for x
    x = 20,568,482,053.30/177,316.42
  6. Step 6: Final answer
    x = 115,998.74

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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.