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Finding the Fourth Proportional to 153,733.82, 212,153 and 85,749.04

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Solution

The fourth proportional to 153,733.82, 212,153 and 85,749.04 is: 118,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,733.82 : 212,153 = 85,749.04 : x
  2. Step 2: Convert to fraction form
    153,733.82/212,153 = 85,749.04/x
  3. Step 3: Cross multiply
    153,733.82x = 212,153 × 85,749.04
  4. Step 4: Simplify right side
    153,733.82x = 18,191,916,083.12
  5. Step 5: Solve for x
    x = 18,191,916,083.12/153,733.82
  6. Step 6: Final answer
    x = 118,333.86

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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.