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Finding the Fourth Proportional to 163,097.64, 225,082.32 and 101,880.09

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Solution

The fourth proportional to 163,097.64, 225,082.32 and 101,880.09 is: 140,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,097.64 : 225,082.32 = 101,880.09 : x
  2. Step 2: Convert to fraction form
    163,097.64/225,082.32 = 101,880.09/x
  3. Step 3: Cross multiply
    163,097.64x = 225,082.32 × 101,880.09
  4. Step 4: Simplify right side
    163,097.64x = 22,931,407,019.01
  5. Step 5: Solve for x
    x = 22,931,407,019.01/163,097.64
  6. Step 6: Final answer
    x = 140,599.26

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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.