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Finding the Fourth Proportional to 453,633.46, 680,548.59 and 138,082.16

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Solution

The fourth proportional to 453,633.46, 680,548.59 and 138,082.16 is: 207,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,633.46 : 680,548.59 = 138,082.16 : x
  2. Step 2: Convert to fraction form
    453,633.46/680,548.59 = 138,082.16/x
  3. Step 3: Cross multiply
    453,633.46x = 680,548.59 × 138,082.16
  4. Step 4: Simplify right side
    453,633.46x = 93,971,619,292.15
  5. Step 5: Solve for x
    x = 93,971,619,292.15/453,633.46
  6. Step 6: Final answer
    x = 207,153.19

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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.