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Finding the Fourth Proportional to 176,455, 243,507.90 and 96,967

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Solution

The fourth proportional to 176,455, 243,507.90 and 96,967 is: 133,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,455 : 243,507.90 = 96,967 : x
  2. Step 2: Convert to fraction form
    176,455/243,507.90 = 96,967/x
  3. Step 3: Cross multiply
    176,455x = 243,507.90 × 96,967
  4. Step 4: Simplify right side
    176,455x = 23,612,230,539.30
  5. Step 5: Solve for x
    x = 23,612,230,539.30/176,455
  6. Step 6: Final answer
    x = 133,814.46

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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.