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Finding the Fourth Proportional to 153,091.96, 211,250.34 and 85,111.84

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Solution

The fourth proportional to 153,091.96, 211,250.34 and 85,111.84 is: 117,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,091.96 : 211,250.34 = 85,111.84 : x
  2. Step 2: Convert to fraction form
    153,091.96/211,250.34 = 85,111.84/x
  3. Step 3: Cross multiply
    153,091.96x = 211,250.34 × 85,111.84
  4. Step 4: Simplify right side
    153,091.96x = 17,979,905,138.03
  5. Step 5: Solve for x
    x = 17,979,905,138.03/153,091.96
  6. Step 6: Final answer
    x = 117,445.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.