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Finding the Fourth Proportional to 186,461.56, 257,318.72 and 105,890.76

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Solution

The fourth proportional to 186,461.56, 257,318.72 and 105,890.76 is: 146,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,461.56 : 257,318.72 = 105,890.76 : x
  2. Step 2: Convert to fraction form
    186,461.56/257,318.72 = 105,890.76/x
  3. Step 3: Cross multiply
    186,461.56x = 257,318.72 × 105,890.76
  4. Step 4: Simplify right side
    186,461.56x = 27,247,674,823.03
  5. Step 5: Solve for x
    x = 27,247,674,823.03/186,461.56
  6. Step 6: Final answer
    x = 146,130.25

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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.