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Finding the Fourth Proportional to 186,534.64, 257,409.80 and 105,961.92

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Solution

The fourth proportional to 186,534.64, 257,409.80 and 105,961.92 is: 146,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,534.64 : 257,409.80 = 105,961.92 : x
  2. Step 2: Convert to fraction form
    186,534.64/257,409.80 = 105,961.92/x
  3. Step 3: Cross multiply
    186,534.64x = 257,409.80 × 105,961.92
  4. Step 4: Simplify right side
    186,534.64x = 27,275,636,634.82
  5. Step 5: Solve for x
    x = 27,275,636,634.82/186,534.64
  6. Step 6: Final answer
    x = 146,222.90

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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.