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Finding the Fourth Proportional to 92,413.60, 138,533.04 and 84,196

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Solution

The fourth proportional to 92,413.60, 138,533.04 and 84,196 is: 126,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,413.60 : 138,533.04 = 84,196 : x
  2. Step 2: Convert to fraction form
    92,413.60/138,533.04 = 84,196/x
  3. Step 3: Cross multiply
    92,413.60x = 138,533.04 × 84,196
  4. Step 4: Simplify right side
    92,413.60x = 11,663,927,835.84
  5. Step 5: Solve for x
    x = 11,663,927,835.84/92,413.60
  6. Step 6: Final answer
    x = 126,214.41

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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.