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Finding the Fourth Proportional to 453,742.84, 680,589.42 and 138,173.32

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Solution

The fourth proportional to 453,742.84, 680,589.42 and 138,173.32 is: 207,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,742.84 : 680,589.42 = 138,173.32 : x
  2. Step 2: Convert to fraction form
    453,742.84/680,589.42 = 138,173.32/x
  3. Step 3: Cross multiply
    453,742.84x = 680,589.42 × 138,173.32
  4. Step 4: Simplify right side
    453,742.84x = 94,039,299,718.27
  5. Step 5: Solve for x
    x = 94,039,299,718.27/453,742.84
  6. Step 6: Final answer
    x = 207,252.42

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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.