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Finding the Fourth Proportional to 177,441.12, 265,917.48 and 77,684.76

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Solution

The fourth proportional to 177,441.12, 265,917.48 and 77,684.76 is: 116,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,441.12 : 265,917.48 = 77,684.76 : x
  2. Step 2: Convert to fraction form
    177,441.12/265,917.48 = 77,684.76/x
  3. Step 3: Cross multiply
    177,441.12x = 265,917.48 × 77,684.76
  4. Step 4: Simplify right side
    177,441.12x = 20,657,735,613.60
  5. Step 5: Solve for x
    x = 20,657,735,613.60/177,441.12
  6. Step 6: Final answer
    x = 116,420.23

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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.