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Finding the Fourth Proportional to 144,490.10, 216,735.15 and 100,166.90

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Solution

The fourth proportional to 144,490.10, 216,735.15 and 100,166.90 is: 150,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,490.10 : 216,735.15 = 100,166.90 : x
  2. Step 2: Convert to fraction form
    144,490.10/216,735.15 = 100,166.90/x
  3. Step 3: Cross multiply
    144,490.10x = 216,735.15 × 100,166.90
  4. Step 4: Simplify right side
    144,490.10x = 21,709,688,096.54
  5. Step 5: Solve for x
    x = 21,709,688,096.54/144,490.10
  6. Step 6: Final answer
    x = 150,250.35

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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.