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Finding the Fourth Proportional to 146,193.54, 201,748.74 and 85,765.22

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Solution

The fourth proportional to 146,193.54, 201,748.74 and 85,765.22 is: 118,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,193.54 : 201,748.74 = 85,765.22 : x
  2. Step 2: Convert to fraction form
    146,193.54/201,748.74 = 85,765.22/x
  3. Step 3: Cross multiply
    146,193.54x = 201,748.74 × 85,765.22
  4. Step 4: Simplify right side
    146,193.54x = 17,303,024,062.08
  5. Step 5: Solve for x
    x = 17,303,024,062.08/146,193.54
  6. Step 6: Final answer
    x = 118,356.97

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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.