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Finding the Fourth Proportional to 191,929.05, 287,375.18 and 150,457.05

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Solution

The fourth proportional to 191,929.05, 287,375.18 and 150,457.05 is: 225,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,929.05 : 287,375.18 = 150,457.05 : x
  2. Step 2: Convert to fraction form
    191,929.05/287,375.18 = 150,457.05/x
  3. Step 3: Cross multiply
    191,929.05x = 287,375.18 × 150,457.05
  4. Step 4: Simplify right side
    191,929.05x = 43,237,621,073.73
  5. Step 5: Solve for x
    x = 43,237,621,073.73/191,929.05
  6. Step 6: Final answer
    x = 225,279.19

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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.