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Finding the Fourth Proportional to 257,130.79, 384,132.47 and 166,434.62

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Solution

The fourth proportional to 257,130.79, 384,132.47 and 166,434.62 is: 248,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,130.79 : 384,132.47 = 166,434.62 : x
  2. Step 2: Convert to fraction form
    257,130.79/384,132.47 = 166,434.62/x
  3. Step 3: Cross multiply
    257,130.79x = 384,132.47 × 166,434.62
  4. Step 4: Simplify right side
    257,130.79x = 63,932,940,505.74
  5. Step 5: Solve for x
    x = 63,932,940,505.74/257,130.79
  6. Step 6: Final answer
    x = 248,639.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.