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Finding the Fourth Proportional to 157,706.31, 217,634.61 and 86,086.32

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Solution

The fourth proportional to 157,706.31, 217,634.61 and 86,086.32 is: 118,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,706.31 : 217,634.61 = 86,086.32 : x
  2. Step 2: Convert to fraction form
    157,706.31/217,634.61 = 86,086.32/x
  3. Step 3: Cross multiply
    157,706.31x = 217,634.61 × 86,086.32
  4. Step 4: Simplify right side
    157,706.31x = 18,735,362,186.23
  5. Step 5: Solve for x
    x = 18,735,362,186.23/157,706.31
  6. Step 6: Final answer
    x = 118,799.06

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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.