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Finding the Fourth Proportional to 145,880, 201,314.52 and 78,812

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Solution

The fourth proportional to 145,880, 201,314.52 and 78,812 is: 108,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,880 : 201,314.52 = 78,812 : x
  2. Step 2: Convert to fraction form
    145,880/201,314.52 = 78,812/x
  3. Step 3: Cross multiply
    145,880x = 201,314.52 × 78,812
  4. Step 4: Simplify right side
    145,880x = 15,865,999,950.24
  5. Step 5: Solve for x
    x = 15,865,999,950.24/145,880
  6. Step 6: Final answer
    x = 108,760.62

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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.