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Finding the Fourth Proportional to 186,123.64, 256,830.78 and 109,638.22

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Solution

The fourth proportional to 186,123.64, 256,830.78 and 109,638.22 is: 151,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,123.64 : 256,830.78 = 109,638.22 : x
  2. Step 2: Convert to fraction form
    186,123.64/256,830.78 = 109,638.22/x
  3. Step 3: Cross multiply
    186,123.64x = 256,830.78 × 109,638.22
  4. Step 4: Simplify right side
    186,123.64x = 28,158,469,560.41
  5. Step 5: Solve for x
    x = 28,158,469,560.41/186,123.64
  6. Step 6: Final answer
    x = 151,289.05

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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.