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Finding the Fourth Proportional to 406,758.45, 610,168.86 and 136,887.92

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Solution

The fourth proportional to 406,758.45, 610,168.86 and 136,887.92 is: 205,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,758.45 : 610,168.86 = 136,887.92 : x
  2. Step 2: Convert to fraction form
    406,758.45/610,168.86 = 136,887.92/x
  3. Step 3: Cross multiply
    406,758.45x = 610,168.86 × 136,887.92
  4. Step 4: Simplify right side
    406,758.45x = 83,524,746,094.17
  5. Step 5: Solve for x
    x = 83,524,746,094.17/406,758.45
  6. Step 6: Final answer
    x = 205,342.37

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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.