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Finding the Fourth Proportional to 154,483.92, 231,699.96 and 43,650

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Solution

The fourth proportional to 154,483.92, 231,699.96 and 43,650 is: 65,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,483.92 : 231,699.96 = 43,650 : x
  2. Step 2: Convert to fraction form
    154,483.92/231,699.96 = 43,650/x
  3. Step 3: Cross multiply
    154,483.92x = 231,699.96 × 43,650
  4. Step 4: Simplify right side
    154,483.92x = 10,113,703,254
  5. Step 5: Solve for x
    x = 10,113,703,254/154,483.92
  6. Step 6: Final answer
    x = 65,467.68

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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.