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Finding the Fourth Proportional to 120,886, 181,335.48 and 37,786.48

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Solution

The fourth proportional to 120,886, 181,335.48 and 37,786.48 is: 56,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,886 : 181,335.48 = 37,786.48 : x
  2. Step 2: Convert to fraction form
    120,886/181,335.48 = 37,786.48/x
  3. Step 3: Cross multiply
    120,886x = 181,335.48 × 37,786.48
  4. Step 4: Simplify right side
    120,886x = 6,852,029,488.31
  5. Step 5: Solve for x
    x = 6,852,029,488.31/120,886
  6. Step 6: Final answer
    x = 56,681.75

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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.