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Finding the Fourth Proportional to 186,274.92, 278,060.01 and 172,397.64

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Solution

The fourth proportional to 186,274.92, 278,060.01 and 172,397.64 is: 257,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,274.92 : 278,060.01 = 172,397.64 : x
  2. Step 2: Convert to fraction form
    186,274.92/278,060.01 = 172,397.64/x
  3. Step 3: Cross multiply
    186,274.92x = 278,060.01 × 172,397.64
  4. Step 4: Simplify right side
    186,274.92x = 47,936,889,502.38
  5. Step 5: Solve for x
    x = 47,936,889,502.38/186,274.92
  6. Step 6: Final answer
    x = 257,344.84

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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.