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Finding the Fourth Proportional to 233,762, 322,591.56 and 127,778

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Solution

The fourth proportional to 233,762, 322,591.56 and 127,778 is: 176,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,762 : 322,591.56 = 127,778 : x
  2. Step 2: Convert to fraction form
    233,762/322,591.56 = 127,778/x
  3. Step 3: Cross multiply
    233,762x = 322,591.56 × 127,778
  4. Step 4: Simplify right side
    233,762x = 41,220,104,353.68
  5. Step 5: Solve for x
    x = 41,220,104,353.68/233,762
  6. Step 6: Final answer
    x = 176,333.64

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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.