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Finding the Fourth Proportional to 154,009, 231,013.50 and 55,513

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Solution

The fourth proportional to 154,009, 231,013.50 and 55,513 is: 83,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,009 : 231,013.50 = 55,513 : x
  2. Step 2: Convert to fraction form
    154,009/231,013.50 = 55,513/x
  3. Step 3: Cross multiply
    154,009x = 231,013.50 × 55,513
  4. Step 4: Simplify right side
    154,009x = 12,824,252,425.50
  5. Step 5: Solve for x
    x = 12,824,252,425.50/154,009
  6. Step 6: Final answer
    x = 83,269.50

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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.