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Finding the Fourth Proportional to 218,410.49, 301,499.44 and 146,832.03

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Solution

The fourth proportional to 218,410.49, 301,499.44 and 146,832.03 is: 202,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,410.49 : 301,499.44 = 146,832.03 : x
  2. Step 2: Convert to fraction form
    218,410.49/301,499.44 = 146,832.03/x
  3. Step 3: Cross multiply
    218,410.49x = 301,499.44 × 146,832.03
  4. Step 4: Simplify right side
    218,410.49x = 44,269,774,440.96
  5. Step 5: Solve for x
    x = 44,269,774,440.96/218,410.49
  6. Step 6: Final answer
    x = 202,690.70

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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.