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Finding the Fourth Proportional to 187,856, 259,267.80 and 116,259.08

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Solution

The fourth proportional to 187,856, 259,267.80 and 116,259.08 is: 160,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,856 : 259,267.80 = 116,259.08 : x
  2. Step 2: Convert to fraction form
    187,856/259,267.80 = 116,259.08/x
  3. Step 3: Cross multiply
    187,856x = 259,267.80 × 116,259.08
  4. Step 4: Simplify right side
    187,856x = 30,142,235,901.62
  5. Step 5: Solve for x
    x = 30,142,235,901.62/187,856
  6. Step 6: Final answer
    x = 160,453.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.