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Finding the Fourth Proportional to 186,548.54, 257,429.47 and 101,663.78

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Solution

The fourth proportional to 186,548.54, 257,429.47 and 101,663.78 is: 140,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,548.54 : 257,429.47 = 101,663.78 : x
  2. Step 2: Convert to fraction form
    186,548.54/257,429.47 = 101,663.78/x
  3. Step 3: Cross multiply
    186,548.54x = 257,429.47 × 101,663.78
  4. Step 4: Simplify right side
    186,548.54x = 26,171,253,003.60
  5. Step 5: Solve for x
    x = 26,171,253,003.60/186,548.54
  6. Step 6: Final answer
    x = 140,291.92

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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.