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Finding the Fourth Proportional to 125,653.29, 188,477.35 and 41,418.51

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Solution

The fourth proportional to 125,653.29, 188,477.35 and 41,418.51 is: 62,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,653.29 : 188,477.35 = 41,418.51 : x
  2. Step 2: Convert to fraction form
    125,653.29/188,477.35 = 41,418.51/x
  3. Step 3: Cross multiply
    125,653.29x = 188,477.35 × 41,418.51
  4. Step 4: Simplify right side
    125,653.29x = 7,806,451,005.75
  5. Step 5: Solve for x
    x = 7,806,451,005.75/125,653.29
  6. Step 6: Final answer
    x = 62,126.91

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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.