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Finding the Fourth Proportional to 144,384.84, 216,614.16 and 55,614.50

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Solution

The fourth proportional to 144,384.84, 216,614.16 and 55,614.50 is: 83,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,384.84 : 216,614.16 = 55,614.50 : x
  2. Step 2: Convert to fraction form
    144,384.84/216,614.16 = 55,614.50/x
  3. Step 3: Cross multiply
    144,384.84x = 216,614.16 × 55,614.50
  4. Step 4: Simplify right side
    144,384.84x = 12,046,888,201.32
  5. Step 5: Solve for x
    x = 12,046,888,201.32/144,384.84
  6. Step 6: Final answer
    x = 83,435.96

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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.