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Finding the Fourth Proportional to 114,576.93, 171,963.81 and 64,706.04

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Solution

The fourth proportional to 114,576.93, 171,963.81 and 64,706.04 is: 97,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,576.93 : 171,963.81 = 64,706.04 : x
  2. Step 2: Convert to fraction form
    114,576.93/171,963.81 = 64,706.04/x
  3. Step 3: Cross multiply
    114,576.93x = 171,963.81 × 64,706.04
  4. Step 4: Simplify right side
    114,576.93x = 11,127,097,168.41
  5. Step 5: Solve for x
    x = 11,127,097,168.41/114,576.93
  6. Step 6: Final answer
    x = 97,114.64

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Why These Related Problems?

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