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Finding the Fourth Proportional to 125,916.32, 188,894.99 and 37,178.79

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Solution

The fourth proportional to 125,916.32, 188,894.99 and 37,178.79 is: 55,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,916.32 : 188,894.99 = 37,178.79 : x
  2. Step 2: Convert to fraction form
    125,916.32/188,894.99 = 37,178.79/x
  3. Step 3: Cross multiply
    125,916.32x = 188,894.99 × 37,178.79
  4. Step 4: Simplify right side
    125,916.32x = 7,022,886,979.37
  5. Step 5: Solve for x
    x = 7,022,886,979.37/125,916.32
  6. Step 6: Final answer
    x = 55,774.24

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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.