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Finding the Fourth Proportional to 157,397.78, 217,208.94 and 85,777.82

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Solution

The fourth proportional to 157,397.78, 217,208.94 and 85,777.82 is: 118,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,397.78 : 217,208.94 = 85,777.82 : x
  2. Step 2: Convert to fraction form
    157,397.78/217,208.94 = 85,777.82/x
  3. Step 3: Cross multiply
    157,397.78x = 217,208.94 × 85,777.82
  4. Step 4: Simplify right side
    157,397.78x = 18,631,709,357.71
  5. Step 5: Solve for x
    x = 18,631,709,357.71/157,397.78
  6. Step 6: Final answer
    x = 118,373.39

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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.