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Finding the Fourth Proportional to 164,187.52, 245,924.87 and 100,815.28

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Solution

The fourth proportional to 164,187.52, 245,924.87 and 100,815.28 is: 151,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,187.52 : 245,924.87 = 100,815.28 : x
  2. Step 2: Convert to fraction form
    164,187.52/245,924.87 = 100,815.28/x
  3. Step 3: Cross multiply
    164,187.52x = 245,924.87 × 100,815.28
  4. Step 4: Simplify right side
    164,187.52x = 24,792,984,628.01
  5. Step 5: Solve for x
    x = 24,792,984,628.01/164,187.52
  6. Step 6: Final answer
    x = 151,004.08

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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.