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Finding the Fourth Proportional to 453,735.76, 680,702.16 and 138,184.36

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Solution

The fourth proportional to 453,735.76, 680,702.16 and 138,184.36 is: 207,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,735.76 : 680,702.16 = 138,184.36 : x
  2. Step 2: Convert to fraction form
    453,735.76/680,702.16 = 138,184.36/x
  3. Step 3: Cross multiply
    453,735.76x = 680,702.16 × 138,184.36
  4. Step 4: Simplify right side
    453,735.76x = 94,062,392,330.22
  5. Step 5: Solve for x
    x = 94,062,392,330.22/453,735.76
  6. Step 6: Final answer
    x = 207,306.54

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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.