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Finding the Fourth Proportional to 177,507.40, 265,984.62 and 111,705.16

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Solution

The fourth proportional to 177,507.40, 265,984.62 and 111,705.16 is: 167,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,507.40 : 265,984.62 = 111,705.16 : x
  2. Step 2: Convert to fraction form
    177,507.40/265,984.62 = 111,705.16/x
  3. Step 3: Cross multiply
    177,507.40x = 265,984.62 × 111,705.16
  4. Step 4: Simplify right side
    177,507.40x = 29,711,854,534.64
  5. Step 5: Solve for x
    x = 29,711,854,534.64/177,507.40
  6. Step 6: Final answer
    x = 167,383.75

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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.