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Finding the Fourth Proportional to 469,090.76, 703,636.34 and 114,102.59

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Solution

The fourth proportional to 469,090.76, 703,636.34 and 114,102.59 is: 171,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,090.76 : 703,636.34 = 114,102.59 : x
  2. Step 2: Convert to fraction form
    469,090.76/703,636.34 = 114,102.59/x
  3. Step 3: Cross multiply
    469,090.76x = 703,636.34 × 114,102.59
  4. Step 4: Simplify right side
    469,090.76x = 80,286,724,723.43
  5. Step 5: Solve for x
    x = 80,286,724,723.43/469,090.76
  6. Step 6: Final answer
    x = 171,153.93

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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.