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Finding the Fourth Proportional to 177,232.80, 265,606.20 and 113,858.40

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Solution

The fourth proportional to 177,232.80, 265,606.20 and 113,858.40 is: 170,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,232.80 : 265,606.20 = 113,858.40 : x
  2. Step 2: Convert to fraction form
    177,232.80/265,606.20 = 113,858.40/x
  3. Step 3: Cross multiply
    177,232.80x = 265,606.20 × 113,858.40
  4. Step 4: Simplify right side
    177,232.80x = 30,241,496,962.08
  5. Step 5: Solve for x
    x = 30,241,496,962.08/177,232.80
  6. Step 6: Final answer
    x = 170,631.49

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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.