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Finding the Fourth Proportional to 176,413.55, 265,145.22 and 82,984.91

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Solution

The fourth proportional to 176,413.55, 265,145.22 and 82,984.91 is: 124,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,413.55 : 265,145.22 = 82,984.91 : x
  2. Step 2: Convert to fraction form
    176,413.55/265,145.22 = 82,984.91/x
  3. Step 3: Cross multiply
    176,413.55x = 265,145.22 × 82,984.91
  4. Step 4: Simplify right side
    176,413.55x = 22,003,050,892.90
  5. Step 5: Solve for x
    x = 22,003,050,892.90/176,413.55
  6. Step 6: Final answer
    x = 124,724.27

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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.