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Finding the Fourth Proportional to 125,259.86, 187,528.80 and 83,181.98

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Solution

The fourth proportional to 125,259.86, 187,528.80 and 83,181.98 is: 124,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,259.86 : 187,528.80 = 83,181.98 : x
  2. Step 2: Convert to fraction form
    125,259.86/187,528.80 = 83,181.98/x
  3. Step 3: Cross multiply
    125,259.86x = 187,528.80 × 83,181.98
  4. Step 4: Simplify right side
    125,259.86x = 15,599,016,891.02
  5. Step 5: Solve for x
    x = 15,599,016,891.02/125,259.86
  6. Step 6: Final answer
    x = 124,533.25

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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.