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Finding the Fourth Proportional to 145,880.26, 201,314.74 and 78,812.26

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Solution

The fourth proportional to 145,880.26, 201,314.74 and 78,812.26 is: 108,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,880.26 : 201,314.74 = 78,812.26 : x
  2. Step 2: Convert to fraction form
    145,880.26/201,314.74 = 78,812.26/x
  3. Step 3: Cross multiply
    145,880.26x = 201,314.74 × 78,812.26
  4. Step 4: Simplify right side
    145,880.26x = 15,866,069,630.71
  5. Step 5: Solve for x
    x = 15,866,069,630.71/145,880.26
  6. Step 6: Final answer
    x = 108,760.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.