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Finding the Fourth Proportional to 186,214.71, 256,982.10 and 105,645.63

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Solution

The fourth proportional to 186,214.71, 256,982.10 and 105,645.63 is: 145,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,214.71 : 256,982.10 = 105,645.63 : x
  2. Step 2: Convert to fraction form
    186,214.71/256,982.10 = 105,645.63/x
  3. Step 3: Cross multiply
    186,214.71x = 256,982.10 × 105,645.63
  4. Step 4: Simplify right side
    186,214.71x = 27,149,035,853.22
  5. Step 5: Solve for x
    x = 27,149,035,853.22/186,214.71
  6. Step 6: Final answer
    x = 145,794.26

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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.