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Finding the Fourth Proportional to 214,942.40, 322,413.60 and 176,888.60

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Solution

The fourth proportional to 214,942.40, 322,413.60 and 176,888.60 is: 265,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,942.40 : 322,413.60 = 176,888.60 : x
  2. Step 2: Convert to fraction form
    214,942.40/322,413.60 = 176,888.60/x
  3. Step 3: Cross multiply
    214,942.40x = 322,413.60 × 176,888.60
  4. Step 4: Simplify right side
    214,942.40x = 57,031,290,324.96
  5. Step 5: Solve for x
    x = 57,031,290,324.96/214,942.40
  6. Step 6: Final answer
    x = 265,332.90

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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.