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Finding the Fourth Proportional to 102,173.48, 153,160.82 and 48,851.60

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Solution

The fourth proportional to 102,173.48, 153,160.82 and 48,851.60 is: 73,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,173.48 : 153,160.82 = 48,851.60 : x
  2. Step 2: Convert to fraction form
    102,173.48/153,160.82 = 48,851.60/x
  3. Step 3: Cross multiply
    102,173.48x = 153,160.82 × 48,851.60
  4. Step 4: Simplify right side
    102,173.48x = 7,482,151,161.50
  5. Step 5: Solve for x
    x = 7,482,151,161.50/102,173.48
  6. Step 6: Final answer
    x = 73,229.88

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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.