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Finding the Fourth Proportional to 125,829.54, 188,809.86 and 51,004.98

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Solution

The fourth proportional to 125,829.54, 188,809.86 and 51,004.98 is: 76,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,829.54 : 188,809.86 = 51,004.98 : x
  2. Step 2: Convert to fraction form
    125,829.54/188,809.86 = 51,004.98/x
  3. Step 3: Cross multiply
    125,829.54x = 188,809.86 × 51,004.98
  4. Step 4: Simplify right side
    125,829.54x = 9,630,243,133.10
  5. Step 5: Solve for x
    x = 9,630,243,133.10/125,829.54
  6. Step 6: Final answer
    x = 76,534.04

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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.