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Finding the Fourth Proportional to 125,663.94, 188,509.65 and 54,537.68

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Solution

The fourth proportional to 125,663.94, 188,509.65 and 54,537.68 is: 81,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,663.94 : 188,509.65 = 54,537.68 : x
  2. Step 2: Convert to fraction form
    125,663.94/188,509.65 = 54,537.68/x
  3. Step 3: Cross multiply
    125,663.94x = 188,509.65 × 54,537.68
  4. Step 4: Simplify right side
    125,663.94x = 10,280,879,235.37
  5. Step 5: Solve for x
    x = 10,280,879,235.37/125,663.94
  6. Step 6: Final answer
    x = 81,812.49

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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.