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Finding the Fourth Proportional to 153,096.38, 211,261.04 and 85,109.21

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Solution

The fourth proportional to 153,096.38, 211,261.04 and 85,109.21 is: 117,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096.38 : 211,261.04 = 85,109.21 : x
  2. Step 2: Convert to fraction form
    153,096.38/211,261.04 = 85,109.21/x
  3. Step 3: Cross multiply
    153,096.38x = 211,261.04 × 85,109.21
  4. Step 4: Simplify right side
    153,096.38x = 17,980,258,736.33
  5. Step 5: Solve for x
    x = 17,980,258,736.33/153,096.38
  6. Step 6: Final answer
    x = 117,444.05

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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.