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Finding the Fourth Proportional to 232,465.55, 348,534.30 and 106,166.30

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Solution

The fourth proportional to 232,465.55, 348,534.30 and 106,166.30 is: 159,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,465.55 : 348,534.30 = 106,166.30 : x
  2. Step 2: Convert to fraction form
    232,465.55/348,534.30 = 106,166.30/x
  3. Step 3: Cross multiply
    232,465.55x = 348,534.30 × 106,166.30
  4. Step 4: Simplify right side
    232,465.55x = 37,002,597,054.09
  5. Step 5: Solve for x
    x = 37,002,597,054.09/232,465.55
  6. Step 6: Final answer
    x = 159,174.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.