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Finding the Fourth Proportional to 186,408.54, 257,261.67 and 114,830.46

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Solution

The fourth proportional to 186,408.54, 257,261.67 and 114,830.46 is: 158,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,408.54 : 257,261.67 = 114,830.46 : x
  2. Step 2: Convert to fraction form
    186,408.54/257,261.67 = 114,830.46/x
  3. Step 3: Cross multiply
    186,408.54x = 257,261.67 × 114,830.46
  4. Step 4: Simplify right side
    186,408.54x = 29,541,475,906.47
  5. Step 5: Solve for x
    x = 29,541,475,906.47/186,408.54
  6. Step 6: Final answer
    x = 158,477.05

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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.