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Finding the Fourth Proportional to 219,892.20, 329,838.30 and 144,112.65

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Solution

The fourth proportional to 219,892.20, 329,838.30 and 144,112.65 is: 216,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,892.20 : 329,838.30 = 144,112.65 : x
  2. Step 2: Convert to fraction form
    219,892.20/329,838.30 = 144,112.65/x
  3. Step 3: Cross multiply
    219,892.20x = 329,838.30 × 144,112.65
  4. Step 4: Simplify right side
    219,892.20x = 47,533,871,484.50
  5. Step 5: Solve for x
    x = 47,533,871,484.50/219,892.20
  6. Step 6: Final answer
    x = 216,168.98

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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.