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Finding the Fourth Proportional to 250,113, 345,188.88 and 142,658.40

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Solution

The fourth proportional to 250,113, 345,188.88 and 142,658.40 is: 196,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,113 : 345,188.88 = 142,658.40 : x
  2. Step 2: Convert to fraction form
    250,113/345,188.88 = 142,658.40/x
  3. Step 3: Cross multiply
    250,113x = 345,188.88 × 142,658.40
  4. Step 4: Simplify right side
    250,113x = 49,244,093,318.59
  5. Step 5: Solve for x
    x = 49,244,093,318.59/250,113
  6. Step 6: Final answer
    x = 196,887.38

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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.