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Finding the Fourth Proportional to 183,214.40, 274,661.60 and 70,971.20

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Solution

The fourth proportional to 183,214.40, 274,661.60 and 70,971.20 is: 106,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,214.40 : 274,661.60 = 70,971.20 : x
  2. Step 2: Convert to fraction form
    183,214.40/274,661.60 = 70,971.20/x
  3. Step 3: Cross multiply
    183,214.40x = 274,661.60 × 70,971.20
  4. Step 4: Simplify right side
    183,214.40x = 19,493,063,345.92
  5. Step 5: Solve for x
    x = 19,493,063,345.92/183,214.40
  6. Step 6: Final answer
    x = 106,394.82

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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.