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Finding the Fourth Proportional to 153,742.64, 212,166 and 85,764.06

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Solution

The fourth proportional to 153,742.64, 212,166 and 85,764.06 is: 118,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,742.64 : 212,166 = 85,764.06 : x
  2. Step 2: Convert to fraction form
    153,742.64/212,166 = 85,764.06/x
  3. Step 3: Cross multiply
    153,742.64x = 212,166 × 85,764.06
  4. Step 4: Simplify right side
    153,742.64x = 18,196,217,553.96
  5. Step 5: Solve for x
    x = 18,196,217,553.96/153,742.64
  6. Step 6: Final answer
    x = 118,355.05

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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.