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Finding the Fourth Proportional to 233,665, 322,457.70 and 127,681

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Solution

The fourth proportional to 233,665, 322,457.70 and 127,681 is: 176,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,665 : 322,457.70 = 127,681 : x
  2. Step 2: Convert to fraction form
    233,665/322,457.70 = 127,681/x
  3. Step 3: Cross multiply
    233,665x = 322,457.70 × 127,681
  4. Step 4: Simplify right side
    233,665x = 41,171,721,593.70
  5. Step 5: Solve for x
    x = 41,171,721,593.70/233,665
  6. Step 6: Final answer
    x = 176,199.78

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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.