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Finding the Fourth Proportional to 186,914.68, 257,938.95 and 106,340.47

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Solution

The fourth proportional to 186,914.68, 257,938.95 and 106,340.47 is: 146,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,914.68 : 257,938.95 = 106,340.47 : x
  2. Step 2: Convert to fraction form
    186,914.68/257,938.95 = 106,340.47/x
  3. Step 3: Cross multiply
    186,914.68x = 257,938.95 × 106,340.47
  4. Step 4: Simplify right side
    186,914.68x = 27,429,350,085.01
  5. Step 5: Solve for x
    x = 27,429,350,085.01/186,914.68
  6. Step 6: Final answer
    x = 146,747.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.