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Finding the Fourth Proportional to 453,709.80, 680,564.70 and 138,166.20

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Solution

The fourth proportional to 453,709.80, 680,564.70 and 138,166.20 is: 207,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,709.80 : 680,564.70 = 138,166.20 : x
  2. Step 2: Convert to fraction form
    453,709.80/680,564.70 = 138,166.20/x
  3. Step 3: Cross multiply
    453,709.80x = 680,564.70 × 138,166.20
  4. Step 4: Simplify right side
    453,709.80x = 94,031,038,453.14
  5. Step 5: Solve for x
    x = 94,031,038,453.14/453,709.80
  6. Step 6: Final answer
    x = 207,249.30

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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.