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Finding the Fourth Proportional to 114,997.70, 172,504.65 and 65,101.70

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Solution

The fourth proportional to 114,997.70, 172,504.65 and 65,101.70 is: 97,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,997.70 : 172,504.65 = 65,101.70 : x
  2. Step 2: Convert to fraction form
    114,997.70/172,504.65 = 65,101.70/x
  3. Step 3: Cross multiply
    114,997.70x = 172,504.65 × 65,101.70
  4. Step 4: Simplify right side
    114,997.70x = 11,230,345,972.91
  5. Step 5: Solve for x
    x = 11,230,345,972.91/114,997.70
  6. Step 6: Final answer
    x = 97,657.14

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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.