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Finding the Fourth Proportional to 145,865.25, 201,294.24 and 78,797.25

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Solution

The fourth proportional to 145,865.25, 201,294.24 and 78,797.25 is: 108,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,865.25 : 201,294.24 = 78,797.25 : x
  2. Step 2: Convert to fraction form
    145,865.25/201,294.24 = 78,797.25/x
  3. Step 3: Cross multiply
    145,865.25x = 201,294.24 × 78,797.25
  4. Step 4: Simplify right side
    145,865.25x = 15,861,432,552.84
  5. Step 5: Solve for x
    x = 15,861,432,552.84/145,865.25
  6. Step 6: Final answer
    x = 108,740.31

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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.