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Finding the Fourth Proportional to 146,333.16, 201,938.16 and 85,893.12

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Solution

The fourth proportional to 146,333.16, 201,938.16 and 85,893.12 is: 118,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,333.16 : 201,938.16 = 85,893.12 : x
  2. Step 2: Convert to fraction form
    146,333.16/201,938.16 = 85,893.12/x
  3. Step 3: Cross multiply
    146,333.16x = 201,938.16 × 85,893.12
  4. Step 4: Simplify right side
    146,333.16x = 17,345,098,609.46
  5. Step 5: Solve for x
    x = 17,345,098,609.46/146,333.16
  6. Step 6: Final answer
    x = 118,531.57

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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.