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Finding the Fourth Proportional to 144,632.72, 216,978.24 and 51,204.08

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Solution

The fourth proportional to 144,632.72, 216,978.24 and 51,204.08 is: 76,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,632.72 : 216,978.24 = 51,204.08 : x
  2. Step 2: Convert to fraction form
    144,632.72/216,978.24 = 51,204.08/x
  3. Step 3: Cross multiply
    144,632.72x = 216,978.24 × 51,204.08
  4. Step 4: Simplify right side
    144,632.72x = 11,110,171,159.22
  5. Step 5: Solve for x
    x = 11,110,171,159.22/144,632.72
  6. Step 6: Final answer
    x = 76,816.44

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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.