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Finding the Fourth Proportional to 157,893.40, 217,907.67 and 86,284.06

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Solution

The fourth proportional to 157,893.40, 217,907.67 and 86,284.06 is: 119,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,893.40 : 217,907.67 = 86,284.06 : x
  2. Step 2: Convert to fraction form
    157,893.40/217,907.67 = 86,284.06/x
  3. Step 3: Cross multiply
    157,893.40x = 217,907.67 × 86,284.06
  4. Step 4: Simplify right side
    157,893.40x = 18,801,958,472.74
  5. Step 5: Solve for x
    x = 18,801,958,472.74/157,893.40
  6. Step 6: Final answer
    x = 119,080.08

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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.