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Finding the Fourth Proportional to 114,486.98, 171,508.10 and 64,414.40

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Solution

The fourth proportional to 114,486.98, 171,508.10 and 64,414.40 is: 96,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,486.98 : 171,508.10 = 64,414.40 : x
  2. Step 2: Convert to fraction form
    114,486.98/171,508.10 = 64,414.40/x
  3. Step 3: Cross multiply
    114,486.98x = 171,508.10 × 64,414.40
  4. Step 4: Simplify right side
    114,486.98x = 11,047,591,356.64
  5. Step 5: Solve for x
    x = 11,047,591,356.64/114,486.98
  6. Step 6: Final answer
    x = 96,496.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.