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Finding the Fourth Proportional to 114,466.94, 157,963.88 and 64,165.94

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Solution

The fourth proportional to 114,466.94, 157,963.88 and 64,165.94 is: 88,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,466.94 : 157,963.88 = 64,165.94 : x
  2. Step 2: Convert to fraction form
    114,466.94/157,963.88 = 64,165.94/x
  3. Step 3: Cross multiply
    114,466.94x = 157,963.88 × 64,165.94
  4. Step 4: Simplify right side
    114,466.94x = 10,135,900,846.25
  5. Step 5: Solve for x
    x = 10,135,900,846.25/114,466.94
  6. Step 6: Final answer
    x = 88,548.72

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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.