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Finding the Fourth Proportional to 186,325.41, 257,116.10 and 105,754.58

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Solution

The fourth proportional to 186,325.41, 257,116.10 and 105,754.58 is: 145,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,325.41 : 257,116.10 = 105,754.58 : x
  2. Step 2: Convert to fraction form
    186,325.41/257,116.10 = 105,754.58/x
  3. Step 3: Cross multiply
    186,325.41x = 257,116.10 × 105,754.58
  4. Step 4: Simplify right side
    186,325.41x = 27,191,203,352.38
  5. Step 5: Solve for x
    x = 27,191,203,352.38/186,325.41
  6. Step 6: Final answer
    x = 145,933.95

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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.