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Finding the Fourth Proportional to 157,398.84, 217,204.08 and 85,777.34

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Solution

The fourth proportional to 157,398.84, 217,204.08 and 85,777.34 is: 118,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,398.84 : 217,204.08 = 85,777.34 : x
  2. Step 2: Convert to fraction form
    157,398.84/217,204.08 = 85,777.34/x
  3. Step 3: Cross multiply
    157,398.84x = 217,204.08 × 85,777.34
  4. Step 4: Simplify right side
    157,398.84x = 18,631,188,219.55
  5. Step 5: Solve for x
    x = 18,631,188,219.55/157,398.84
  6. Step 6: Final answer
    x = 118,369.29

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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.