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Finding the Fourth Proportional to 186,086.71, 256,858.14 and 105,567.76

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Solution

The fourth proportional to 186,086.71, 256,858.14 and 105,567.76 is: 145,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,086.71 : 256,858.14 = 105,567.76 : x
  2. Step 2: Convert to fraction form
    186,086.71/256,858.14 = 105,567.76/x
  3. Step 3: Cross multiply
    186,086.71x = 256,858.14 × 105,567.76
  4. Step 4: Simplify right side
    186,086.71x = 27,115,938,477.57
  5. Step 5: Solve for x
    x = 27,115,938,477.57/186,086.71
  6. Step 6: Final answer
    x = 145,716.68

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1.5x scale

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.