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Finding the Fourth Proportional to 144,476.26, 216,724.11 and 55,730.50

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Solution

The fourth proportional to 144,476.26, 216,724.11 and 55,730.50 is: 83,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,476.26 : 216,724.11 = 55,730.50 : x
  2. Step 2: Convert to fraction form
    144,476.26/216,724.11 = 55,730.50/x
  3. Step 3: Cross multiply
    144,476.26x = 216,724.11 × 55,730.50
  4. Step 4: Simplify right side
    144,476.26x = 12,078,143,012.36
  5. Step 5: Solve for x
    x = 12,078,143,012.36/144,476.26
  6. Step 6: Final answer
    x = 83,599.50

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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.