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Finding the Fourth Proportional to 127,413.84, 190,956.60 and 52,443.84

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Solution

The fourth proportional to 127,413.84, 190,956.60 and 52,443.84 is: 78,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,413.84 : 190,956.60 = 52,443.84 : x
  2. Step 2: Convert to fraction form
    127,413.84/190,956.60 = 52,443.84/x
  3. Step 3: Cross multiply
    127,413.84x = 190,956.60 × 52,443.84
  4. Step 4: Simplify right side
    127,413.84x = 10,014,497,377.34
  5. Step 5: Solve for x
    x = 10,014,497,377.34/127,413.84
  6. Step 6: Final answer
    x = 78,598.19

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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.