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Finding the Fourth Proportional to 186,523.68, 257,396.16 and 101,639.04

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Solution

The fourth proportional to 186,523.68, 257,396.16 and 101,639.04 is: 140,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,523.68 : 257,396.16 = 101,639.04 : x
  2. Step 2: Convert to fraction form
    186,523.68/257,396.16 = 101,639.04/x
  3. Step 3: Cross multiply
    186,523.68x = 257,396.16 × 101,639.04
  4. Step 4: Simplify right side
    186,523.68x = 26,161,498,602.09
  5. Step 5: Solve for x
    x = 26,161,498,602.09/186,523.68
  6. Step 6: Final answer
    x = 140,258.32

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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.