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Finding the Fourth Proportional to 114,702.42, 172,142.04 and 57,834.42

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Solution

The fourth proportional to 114,702.42, 172,142.04 and 57,834.42 is: 86,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,702.42 : 172,142.04 = 57,834.42 : x
  2. Step 2: Convert to fraction form
    114,702.42/172,142.04 = 57,834.42/x
  3. Step 3: Cross multiply
    114,702.42x = 172,142.04 × 57,834.42
  4. Step 4: Simplify right side
    114,702.42x = 9,955,735,041.02
  5. Step 5: Solve for x
    x = 9,955,735,041.02/114,702.42
  6. Step 6: Final answer
    x = 86,796.21

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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.