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Finding the Fourth Proportional to 233,586, 322,348.68 and 127,602

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Solution

The fourth proportional to 233,586, 322,348.68 and 127,602 is: 176,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,586 : 322,348.68 = 127,602 : x
  2. Step 2: Convert to fraction form
    233,586/322,348.68 = 127,602/x
  3. Step 3: Cross multiply
    233,586x = 322,348.68 × 127,602
  4. Step 4: Simplify right side
    233,586x = 41,132,336,265.36
  5. Step 5: Solve for x
    x = 41,132,336,265.36/233,586
  6. Step 6: Final answer
    x = 176,090.76

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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.