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Finding the Fourth Proportional to 510,069.14, 765,146.54 and 155,086.23

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Solution

The fourth proportional to 510,069.14, 765,146.54 and 155,086.23 is: 232,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,069.14 : 765,146.54 = 155,086.23 : x
  2. Step 2: Convert to fraction form
    510,069.14/765,146.54 = 155,086.23/x
  3. Step 3: Cross multiply
    510,069.14x = 765,146.54 × 155,086.23
  4. Step 4: Simplify right side
    510,069.14x = 118,663,692,286.14
  5. Step 5: Solve for x
    x = 118,663,692,286.14/510,069.14
  6. Step 6: Final answer
    x = 232,642.37

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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.