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Finding the Fourth Proportional to 469,082.51, 703,623.76 and 114,096.77

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Solution

The fourth proportional to 469,082.51, 703,623.76 and 114,096.77 is: 171,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,082.51 : 703,623.76 = 114,096.77 : x
  2. Step 2: Convert to fraction form
    469,082.51/703,623.76 = 114,096.77/x
  3. Step 3: Cross multiply
    469,082.51x = 703,623.76 × 114,096.77
  4. Step 4: Simplify right side
    469,082.51x = 80,281,198,311.26
  5. Step 5: Solve for x
    x = 80,281,198,311.26/469,082.51
  6. Step 6: Final answer
    x = 171,145.15

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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.