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Finding the Fourth Proportional to 157,810.68, 217,783.49 and 86,194.53

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Solution

The fourth proportional to 157,810.68, 217,783.49 and 86,194.53 is: 118,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,810.68 : 217,783.49 = 86,194.53 : x
  2. Step 2: Convert to fraction form
    157,810.68/217,783.49 = 86,194.53/x
  3. Step 3: Cross multiply
    157,810.68x = 217,783.49 × 86,194.53
  4. Step 4: Simplify right side
    157,810.68x = 18,771,745,131.34
  5. Step 5: Solve for x
    x = 18,771,745,131.34/157,810.68
  6. Step 6: Final answer
    x = 118,951.04

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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.