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Finding the Fourth Proportional to 256,179.60, 384,125.40 and 98,413.20

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Solution

The fourth proportional to 256,179.60, 384,125.40 and 98,413.20 is: 147,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,179.60 : 384,125.40 = 98,413.20 : x
  2. Step 2: Convert to fraction form
    256,179.60/384,125.40 = 98,413.20/x
  3. Step 3: Cross multiply
    256,179.60x = 384,125.40 × 98,413.20
  4. Step 4: Simplify right side
    256,179.60x = 37,803,009,815.28
  5. Step 5: Solve for x
    x = 37,803,009,815.28/256,179.60
  6. Step 6: Final answer
    x = 147,564.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.