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Finding the Fourth Proportional to 114,798.60, 172,457.14 and 68,082.12

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Solution

The fourth proportional to 114,798.60, 172,457.14 and 68,082.12 is: 102,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,798.60 : 172,457.14 = 68,082.12 : x
  2. Step 2: Convert to fraction form
    114,798.60/172,457.14 = 68,082.12/x
  3. Step 3: Cross multiply
    114,798.60x = 172,457.14 × 68,082.12
  4. Step 4: Simplify right side
    114,798.60x = 11,741,247,700.34
  5. Step 5: Solve for x
    x = 11,741,247,700.34/114,798.60
  6. Step 6: Final answer
    x = 102,276.92

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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.