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Finding the Fourth Proportional to 144,951.76, 217,328.28 and 64,959.76

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Solution

The fourth proportional to 144,951.76, 217,328.28 and 64,959.76 is: 97,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,951.76 : 217,328.28 = 64,959.76 : x
  2. Step 2: Convert to fraction form
    144,951.76/217,328.28 = 64,959.76/x
  3. Step 3: Cross multiply
    144,951.76x = 217,328.28 × 64,959.76
  4. Step 4: Simplify right side
    144,951.76x = 14,117,592,910.01
  5. Step 5: Solve for x
    x = 14,117,592,910.01/144,951.76
  6. Step 6: Final answer
    x = 97,395.11

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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.