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Finding the Fourth Proportional to 510,097.50, 765,177.84 and 155,137.68

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Solution

The fourth proportional to 510,097.50, 765,177.84 and 155,137.68 is: 232,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,097.50 : 765,177.84 = 155,137.68 : x
  2. Step 2: Convert to fraction form
    510,097.50/765,177.84 = 155,137.68/x
  3. Step 3: Cross multiply
    510,097.50x = 765,177.84 × 155,137.68
  4. Step 4: Simplify right side
    510,097.50x = 118,707,914,885.01
  5. Step 5: Solve for x
    x = 118,707,914,885.01/510,097.50
  6. Step 6: Final answer
    x = 232,716.13

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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.