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Finding the Fourth Proportional to 176,413.67, 243,433.30 and 99,917.51

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Solution

The fourth proportional to 176,413.67, 243,433.30 and 99,917.51 is: 137,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,413.67 : 243,433.30 = 99,917.51 : x
  2. Step 2: Convert to fraction form
    176,413.67/243,433.30 = 99,917.51/x
  3. Step 3: Cross multiply
    176,413.67x = 243,433.30 × 99,917.51
  4. Step 4: Simplify right side
    176,413.67x = 24,323,247,720.12
  5. Step 5: Solve for x
    x = 24,323,247,720.12/176,413.67
  6. Step 6: Final answer
    x = 137,876.21

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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.