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Finding the Fourth Proportional to 122,252.80, 183,206.40 and 75,366.40

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Solution

The fourth proportional to 122,252.80, 183,206.40 and 75,366.40 is: 112,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,252.80 : 183,206.40 = 75,366.40 : x
  2. Step 2: Convert to fraction form
    122,252.80/183,206.40 = 75,366.40/x
  3. Step 3: Cross multiply
    122,252.80x = 183,206.40 × 75,366.40
  4. Step 4: Simplify right side
    122,252.80x = 13,807,606,824.96
  5. Step 5: Solve for x
    x = 13,807,606,824.96/122,252.80
  6. Step 6: Final answer
    x = 112,943.07

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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.