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Finding the Fourth Proportional to 132,657.84, 183,058.57 and 75,298.33

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Solution

The fourth proportional to 132,657.84, 183,058.57 and 75,298.33 is: 103,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,657.84 : 183,058.57 = 75,298.33 : x
  2. Step 2: Convert to fraction form
    132,657.84/183,058.57 = 75,298.33/x
  3. Step 3: Cross multiply
    132,657.84x = 183,058.57 × 75,298.33
  4. Step 4: Simplify right side
    132,657.84x = 13,784,004,936.13
  5. Step 5: Solve for x
    x = 13,784,004,936.13/132,657.84
  6. Step 6: Final answer
    x = 103,906.45

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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.