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Finding the Fourth Proportional to 128,602.44, 177,412.12 and 83,295.48

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Solution

The fourth proportional to 128,602.44, 177,412.12 and 83,295.48 is: 114,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,602.44 : 177,412.12 = 83,295.48 : x
  2. Step 2: Convert to fraction form
    128,602.44/177,412.12 = 83,295.48/x
  3. Step 3: Cross multiply
    128,602.44x = 177,412.12 × 83,295.48
  4. Step 4: Simplify right side
    128,602.44x = 14,777,627,693.22
  5. Step 5: Solve for x
    x = 14,777,627,693.22/128,602.44
  6. Step 6: Final answer
    x = 114,909.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.