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Finding the Fourth Proportional to 121,875.77, 182,817.70 and 41,912.95

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Solution

The fourth proportional to 121,875.77, 182,817.70 and 41,912.95 is: 62,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,875.77 : 182,817.70 = 41,912.95 : x
  2. Step 2: Convert to fraction form
    121,875.77/182,817.70 = 41,912.95/x
  3. Step 3: Cross multiply
    121,875.77x = 182,817.70 × 41,912.95
  4. Step 4: Simplify right side
    121,875.77x = 7,662,429,119.22
  5. Step 5: Solve for x
    x = 7,662,429,119.22/121,875.77
  6. Step 6: Final answer
    x = 62,870.82

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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.