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Finding the Fourth Proportional to 510,084.32, 765,169.34 and 155,101.41

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Solution

The fourth proportional to 510,084.32, 765,169.34 and 155,101.41 is: 232,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,084.32 : 765,169.34 = 155,101.41 : x
  2. Step 2: Convert to fraction form
    510,084.32/765,169.34 = 155,101.41/x
  3. Step 3: Cross multiply
    510,084.32x = 765,169.34 × 155,101.41
  4. Step 4: Simplify right side
    510,084.32x = 118,678,842,747.26
  5. Step 5: Solve for x
    x = 118,678,842,747.26/510,084.32
  6. Step 6: Final answer
    x = 232,665.15

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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.