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Finding the Fourth Proportional to 186,197.76, 257,040 and 119,168.64

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Solution

The fourth proportional to 186,197.76, 257,040 and 119,168.64 is: 164,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,197.76 : 257,040 = 119,168.64 : x
  2. Step 2: Convert to fraction form
    186,197.76/257,040 = 119,168.64/x
  3. Step 3: Cross multiply
    186,197.76x = 257,040 × 119,168.64
  4. Step 4: Simplify right side
    186,197.76x = 30,631,107,225.60
  5. Step 5: Solve for x
    x = 30,631,107,225.60/186,197.76
  6. Step 6: Final answer
    x = 164,508.46

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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.