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Finding the Fourth Proportional to 186,214.62, 256,956.63 and 105,616.38

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Solution

The fourth proportional to 186,214.62, 256,956.63 and 105,616.38 is: 145,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,214.62 : 256,956.63 = 105,616.38 : x
  2. Step 2: Convert to fraction form
    186,214.62/256,956.63 = 105,616.38/x
  3. Step 3: Cross multiply
    186,214.62x = 256,956.63 × 105,616.38
  4. Step 4: Simplify right side
    186,214.62x = 27,138,829,077.60
  5. Step 5: Solve for x
    x = 27,138,829,077.60/186,214.62
  6. Step 6: Final answer
    x = 145,739.52

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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.