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Finding the Fourth Proportional to 154,892.68, 231,051.84 and 152,323.49

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Solution

The fourth proportional to 154,892.68, 231,051.84 and 152,323.49 is: 227,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,892.68 : 231,051.84 = 152,323.49 : x
  2. Step 2: Convert to fraction form
    154,892.68/231,051.84 = 152,323.49/x
  3. Step 3: Cross multiply
    154,892.68x = 231,051.84 × 152,323.49
  4. Step 4: Simplify right side
    154,892.68x = 35,194,622,203.29
  5. Step 5: Solve for x
    x = 35,194,622,203.29/154,892.68
  6. Step 6: Final answer
    x = 227,219.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.