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Finding the Fourth Proportional to 153,694.80, 212,094.60 and 85,713.84

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Solution

The fourth proportional to 153,694.80, 212,094.60 and 85,713.84 is: 118,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,694.80 : 212,094.60 = 85,713.84 : x
  2. Step 2: Convert to fraction form
    153,694.80/212,094.60 = 85,713.84/x
  3. Step 3: Cross multiply
    153,694.80x = 212,094.60 × 85,713.84
  4. Step 4: Simplify right side
    153,694.80x = 18,179,442,609.26
  5. Step 5: Solve for x
    x = 18,179,442,609.26/153,694.80
  6. Step 6: Final answer
    x = 118,282.74

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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.