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Finding the Fourth Proportional to 176,489.93, 243,464.86 and 109,305.29

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Solution

The fourth proportional to 176,489.93, 243,464.86 and 109,305.29 is: 150,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,489.93 : 243,464.86 = 109,305.29 : x
  2. Step 2: Convert to fraction form
    176,489.93/243,464.86 = 109,305.29/x
  3. Step 3: Cross multiply
    176,489.93x = 243,464.86 × 109,305.29
  4. Step 4: Simplify right side
    176,489.93x = 26,611,997,127.11
  5. Step 5: Solve for x
    x = 26,611,997,127.11/176,489.93
  6. Step 6: Final answer
    x = 150,784.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.