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Finding the Fourth Proportional to 128,413.64, 177,259.56 and 114,959.96

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Solution

The fourth proportional to 128,413.64, 177,259.56 and 114,959.96 is: 158,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.64 : 177,259.56 = 114,959.96 : x
  2. Step 2: Convert to fraction form
    128,413.64/177,259.56 = 114,959.96/x
  3. Step 3: Cross multiply
    128,413.64x = 177,259.56 × 114,959.96
  4. Step 4: Simplify right side
    128,413.64x = 20,377,751,927.22
  5. Step 5: Solve for x
    x = 20,377,751,927.22/128,413.64
  6. Step 6: Final answer
    x = 158,688.38

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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.