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Finding the Fourth Proportional to 510,123.20, 765,213.60 and 155,148.80

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Solution

The fourth proportional to 510,123.20, 765,213.60 and 155,148.80 is: 232,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,123.20 : 765,213.60 = 155,148.80 : x
  2. Step 2: Convert to fraction form
    510,123.20/765,213.60 = 155,148.80/x
  3. Step 3: Cross multiply
    510,123.20x = 765,213.60 × 155,148.80
  4. Step 4: Simplify right side
    510,123.20x = 118,721,971,783.68
  5. Step 5: Solve for x
    x = 118,721,971,783.68/510,123.20
  6. Step 6: Final answer
    x = 232,731.96

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1.5x scale

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.