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Finding the Fourth Proportional to 186,213.72, 256,980.72 and 105,644.64

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Solution

The fourth proportional to 186,213.72, 256,980.72 and 105,644.64 is: 145,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,213.72 : 256,980.72 = 105,644.64 : x
  2. Step 2: Convert to fraction form
    186,213.72/256,980.72 = 105,644.64/x
  3. Step 3: Cross multiply
    186,213.72x = 256,980.72 × 105,644.64
  4. Step 4: Simplify right side
    186,213.72x = 27,148,635,651.34
  5. Step 5: Solve for x
    x = 27,148,635,651.34/186,213.72
  6. Step 6: Final answer
    x = 145,792.89

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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.