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Finding the Fourth Proportional to 177,196.70, 265,795.05 and 83,884.70

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Solution

The fourth proportional to 177,196.70, 265,795.05 and 83,884.70 is: 125,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,196.70 : 265,795.05 = 83,884.70 : x
  2. Step 2: Convert to fraction form
    177,196.70/265,795.05 = 83,884.70/x
  3. Step 3: Cross multiply
    177,196.70x = 265,795.05 × 83,884.70
  4. Step 4: Simplify right side
    177,196.70x = 22,296,138,030.74
  5. Step 5: Solve for x
    x = 22,296,138,030.74/177,196.70
  6. Step 6: Final answer
    x = 125,827.05

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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.