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Finding the Fourth Proportional to 144,178.45, 216,267.64 and 104,984.98

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Solution

The fourth proportional to 144,178.45, 216,267.64 and 104,984.98 is: 157,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,178.45 : 216,267.64 = 104,984.98 : x
  2. Step 2: Convert to fraction form
    144,178.45/216,267.64 = 104,984.98/x
  3. Step 3: Cross multiply
    144,178.45x = 216,267.64 × 104,984.98
  4. Step 4: Simplify right side
    144,178.45x = 22,704,853,860.05
  5. Step 5: Solve for x
    x = 22,704,853,860.05/144,178.45
  6. Step 6: Final answer
    x = 157,477.44

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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.