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Finding the Fourth Proportional to 186,298.81, 257,127.79 and 105,733.88

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Solution

The fourth proportional to 186,298.81, 257,127.79 and 105,733.88 is: 145,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,298.81 : 257,127.79 = 105,733.88 : x
  2. Step 2: Convert to fraction form
    186,298.81/257,127.79 = 105,733.88/x
  3. Step 3: Cross multiply
    186,298.81x = 257,127.79 × 105,733.88
  4. Step 4: Simplify right side
    186,298.81x = 27,187,118,892.53
  5. Step 5: Solve for x
    x = 27,187,118,892.53/186,298.81
  6. Step 6: Final answer
    x = 145,932.86

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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.