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Finding the Fourth Proportional to 150,051.83, 224,827.86 and 105,585.17

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Solution

The fourth proportional to 150,051.83, 224,827.86 and 105,585.17 is: 158,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,051.83 : 224,827.86 = 105,585.17 : x
  2. Step 2: Convert to fraction form
    150,051.83/224,827.86 = 105,585.17/x
  3. Step 3: Cross multiply
    150,051.83x = 224,827.86 × 105,585.17
  4. Step 4: Simplify right side
    150,051.83x = 23,738,486,694.70
  5. Step 5: Solve for x
    x = 23,738,486,694.70/150,051.83
  6. Step 6: Final answer
    x = 158,201.91

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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.