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Finding the Fourth Proportional to 169,455, 254,182.50 and 58,647

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Solution

The fourth proportional to 169,455, 254,182.50 and 58,647 is: 87,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,455 : 254,182.50 = 58,647 : x
  2. Step 2: Convert to fraction form
    169,455/254,182.50 = 58,647/x
  3. Step 3: Cross multiply
    169,455x = 254,182.50 × 58,647
  4. Step 4: Simplify right side
    169,455x = 14,907,041,077.50
  5. Step 5: Solve for x
    x = 14,907,041,077.50/169,455
  6. Step 6: Final answer
    x = 87,970.50

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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.