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Finding the Fourth Proportional to 157,767.35, 217,736.10 and 97,336.49

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Solution

The fourth proportional to 157,767.35, 217,736.10 and 97,336.49 is: 134,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,767.35 : 217,736.10 = 97,336.49 : x
  2. Step 2: Convert to fraction form
    157,767.35/217,736.10 = 97,336.49/x
  3. Step 3: Cross multiply
    157,767.35x = 217,736.10 × 97,336.49
  4. Step 4: Simplify right side
    157,767.35x = 21,193,666,631.61
  5. Step 5: Solve for x
    x = 21,193,666,631.61/157,767.35
  6. Step 6: Final answer
    x = 134,334.94

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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.