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Finding the Fourth Proportional to 105,165.70, 157,748.55 and 63,693.70

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Solution

The fourth proportional to 105,165.70, 157,748.55 and 63,693.70 is: 95,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,165.70 : 157,748.55 = 63,693.70 : x
  2. Step 2: Convert to fraction form
    105,165.70/157,748.55 = 63,693.70/x
  3. Step 3: Cross multiply
    105,165.70x = 157,748.55 × 63,693.70
  4. Step 4: Simplify right side
    105,165.70x = 10,047,588,819.14
  5. Step 5: Solve for x
    x = 10,047,588,819.14/105,165.70
  6. Step 6: Final answer
    x = 95,540.55

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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.