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Finding the Fourth Proportional to 257,665.96, 386,142.54 and 186,017.32

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Solution

The fourth proportional to 257,665.96, 386,142.54 and 186,017.32 is: 278,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,665.96 : 386,142.54 = 186,017.32 : x
  2. Step 2: Convert to fraction form
    257,665.96/386,142.54 = 186,017.32/x
  3. Step 3: Cross multiply
    257,665.96x = 386,142.54 × 186,017.32
  4. Step 4: Simplify right side
    257,665.96x = 71,829,200,428.79
  5. Step 5: Solve for x
    x = 71,829,200,428.79/257,665.96
  6. Step 6: Final answer
    x = 278,768.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.