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Finding the Fourth Proportional to 135,880.66, 202,906 and 110,970.16

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Solution

The fourth proportional to 135,880.66, 202,906 and 110,970.16 is: 165,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,880.66 : 202,906 = 110,970.16 : x
  2. Step 2: Convert to fraction form
    135,880.66/202,906 = 110,970.16/x
  3. Step 3: Cross multiply
    135,880.66x = 202,906 × 110,970.16
  4. Step 4: Simplify right side
    135,880.66x = 22,516,511,792.23
  5. Step 5: Solve for x
    x = 22,516,511,792.23/135,880.66
  6. Step 6: Final answer
    x = 165,707.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.